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Finding the Fourth Proportional to 12,839.58, 17,713.89 and 7,532.46

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Solution

The fourth proportional to 12,839.58, 17,713.89 and 7,532.46 is: 10,392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839.58 : 17,713.89 = 7,532.46 : x
  2. Step 2: Convert to fraction form
    12,839.58/17,713.89 = 7,532.46/x
  3. Step 3: Cross multiply
    12,839.58x = 17,713.89 × 7,532.46
  4. Step 4: Simplify right side
    12,839.58x = 133,429,167.87
  5. Step 5: Solve for x
    x = 133,429,167.87/12,839.58
  6. Step 6: Final answer
    x = 10,392.02

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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.