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Finding the Fourth Proportional to 21,545.52, 32,317.84 and 11,747.16

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Solution

The fourth proportional to 21,545.52, 32,317.84 and 11,747.16 is: 17,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,545.52 : 32,317.84 = 11,747.16 : x
  2. Step 2: Convert to fraction form
    21,545.52/32,317.84 = 11,747.16/x
  3. Step 3: Cross multiply
    21,545.52x = 32,317.84 × 11,747.16
  4. Step 4: Simplify right side
    21,545.52x = 379,642,837.33
  5. Step 5: Solve for x
    x = 379,642,837.33/21,545.52
  6. Step 6: Final answer
    x = 17,620.50

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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.