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Finding the Fourth Proportional to 21,997,642.70, 32,996,300.02 and 6,644,902.70

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Solution

The fourth proportional to 21,997,642.70, 32,996,300.02 and 6,644,902.70 is: 9,967,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,997,642.70 : 32,996,300.02 = 6,644,902.70 : x
  2. Step 2: Convert to fraction form
    21,997,642.70/32,996,300.02 = 6,644,902.70/x
  3. Step 3: Cross multiply
    21,997,642.70x = 32,996,300.02 × 6,644,902.70
  4. Step 4: Simplify right side
    21,997,642.70x = 219,257,203,092,908.06
  5. Step 5: Solve for x
    x = 219,257,203,092,908.06/21,997,642.70
  6. Step 6: Final answer
    x = 9,967,304.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.