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Finding the Fourth Proportional to 15,866.10, 21,902.67 and 9,906.53

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Solution

The fourth proportional to 15,866.10, 21,902.67 and 9,906.53 is: 13,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.10 : 21,902.67 = 9,906.53 : x
  2. Step 2: Convert to fraction form
    15,866.10/21,902.67 = 9,906.53/x
  3. Step 3: Cross multiply
    15,866.10x = 21,902.67 × 9,906.53
  4. Step 4: Simplify right side
    15,866.10x = 216,979,347.92
  5. Step 5: Solve for x
    x = 216,979,347.92/15,866.10
  6. Step 6: Final answer
    x = 13,675.66

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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.