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Finding the Fourth Proportional to 22,172.52, 33,253.10 and 6,586.50

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Solution

The fourth proportional to 22,172.52, 33,253.10 and 6,586.50 is: 9,878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,172.52 : 33,253.10 = 6,586.50 : x
  2. Step 2: Convert to fraction form
    22,172.52/33,253.10 = 6,586.50/x
  3. Step 3: Cross multiply
    22,172.52x = 33,253.10 × 6,586.50
  4. Step 4: Simplify right side
    22,172.52x = 219,021,543.15
  5. Step 5: Solve for x
    x = 219,021,543.15/22,172.52
  6. Step 6: Final answer
    x = 9,878.06

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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.