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Finding the Fourth Proportional to 15,866.56, 21,898.19 and 9,150.89

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Solution

The fourth proportional to 15,866.56, 21,898.19 and 9,150.89 is: 12,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.56 : 21,898.19 = 9,150.89 : x
  2. Step 2: Convert to fraction form
    15,866.56/21,898.19 = 9,150.89/x
  3. Step 3: Cross multiply
    15,866.56x = 21,898.19 × 9,150.89
  4. Step 4: Simplify right side
    15,866.56x = 200,387,841.28
  5. Step 5: Solve for x
    x = 200,387,841.28/15,866.56
  6. Step 6: Final answer
    x = 12,629.57

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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.