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Finding the Fourth Proportional to 12,839.68, 17,715 and 7,534.72

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Solution

The fourth proportional to 12,839.68, 17,715 and 7,534.72 is: 10,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839.68 : 17,715 = 7,534.72 : x
  2. Step 2: Convert to fraction form
    12,839.68/17,715 = 7,534.72/x
  3. Step 3: Cross multiply
    12,839.68x = 17,715 × 7,534.72
  4. Step 4: Simplify right side
    12,839.68x = 133,477,564.80
  5. Step 5: Solve for x
    x = 133,477,564.80/12,839.68
  6. Step 6: Final answer
    x = 10,395.71

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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.