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Finding the Fourth Proportional to 21,545.68, 29,747.76 and 16,501

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Solution

The fourth proportional to 21,545.68, 29,747.76 and 16,501 is: 22,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,545.68 : 29,747.76 = 16,501 : x
  2. Step 2: Convert to fraction form
    21,545.68/29,747.76 = 16,501/x
  3. Step 3: Cross multiply
    21,545.68x = 29,747.76 × 16,501
  4. Step 4: Simplify right side
    21,545.68x = 490,867,787.76
  5. Step 5: Solve for x
    x = 490,867,787.76/21,545.68
  6. Step 6: Final answer
    x = 22,782.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.