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Finding the Fourth Proportional to 21,108.78, 31,654.17 and 6,317.46

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Solution

The fourth proportional to 21,108.78, 31,654.17 and 6,317.46 is: 9,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,108.78 : 31,654.17 = 6,317.46 : x
  2. Step 2: Convert to fraction form
    21,108.78/31,654.17 = 6,317.46/x
  3. Step 3: Cross multiply
    21,108.78x = 31,654.17 × 6,317.46
  4. Step 4: Simplify right side
    21,108.78x = 199,973,952.81
  5. Step 5: Solve for x
    x = 199,973,952.81/21,108.78
  6. Step 6: Final answer
    x = 9,473.50

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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.