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Finding the Fourth Proportional to 16,237.49, 22,399.47 and 9,862.38

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Solution

The fourth proportional to 16,237.49, 22,399.47 and 9,862.38 is: 13,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,237.49 : 22,399.47 = 9,862.38 : x
  2. Step 2: Convert to fraction form
    16,237.49/22,399.47 = 9,862.38/x
  3. Step 3: Cross multiply
    16,237.49x = 22,399.47 × 9,862.38
  4. Step 4: Simplify right side
    16,237.49x = 220,912,084.94
  5. Step 5: Solve for x
    x = 220,912,084.94/16,237.49
  6. Step 6: Final answer
    x = 13,605.07

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Why These Related Problems?

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