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Finding the Fourth Proportional to 13,892.71, 19,171.78 and 7,519.16

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Solution

The fourth proportional to 13,892.71, 19,171.78 and 7,519.16 is: 10,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.71 : 19,171.78 = 7,519.16 : x
  2. Step 2: Convert to fraction form
    13,892.71/19,171.78 = 7,519.16/x
  3. Step 3: Cross multiply
    13,892.71x = 19,171.78 × 7,519.16
  4. Step 4: Simplify right side
    13,892.71x = 144,155,681.30
  5. Step 5: Solve for x
    x = 144,155,681.30/13,892.71
  6. Step 6: Final answer
    x = 10,376.35

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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.