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Finding the Fourth Proportional to 13,507.71, 18,637.66 and 7,839.17

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Solution

The fourth proportional to 13,507.71, 18,637.66 and 7,839.17 is: 10,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.71 : 18,637.66 = 7,839.17 : x
  2. Step 2: Convert to fraction form
    13,507.71/18,637.66 = 7,839.17/x
  3. Step 3: Cross multiply
    13,507.71x = 18,637.66 × 7,839.17
  4. Step 4: Simplify right side
    13,507.71x = 146,103,785.14
  5. Step 5: Solve for x
    x = 146,103,785.14/13,507.71
  6. Step 6: Final answer
    x = 10,816.33

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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.