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Finding the Fourth Proportional to 13,843.87, 19,097.90 and 9,061.71

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Solution

The fourth proportional to 13,843.87, 19,097.90 and 9,061.71 is: 12,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.87 : 19,097.90 = 9,061.71 : x
  2. Step 2: Convert to fraction form
    13,843.87/19,097.90 = 9,061.71/x
  3. Step 3: Cross multiply
    13,843.87x = 19,097.90 × 9,061.71
  4. Step 4: Simplify right side
    13,843.87x = 173,059,631.41
  5. Step 5: Solve for x
    x = 173,059,631.41/13,843.87
  6. Step 6: Final answer
    x = 12,500.81

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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.