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Finding the Fourth Proportional to 12,717.71, 17,549.58 and 7,052.25

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Solution

The fourth proportional to 12,717.71, 17,549.58 and 7,052.25 is: 9,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717.71 : 17,549.58 = 7,052.25 : x
  2. Step 2: Convert to fraction form
    12,717.71/17,549.58 = 7,052.25/x
  3. Step 3: Cross multiply
    12,717.71x = 17,549.58 × 7,052.25
  4. Step 4: Simplify right side
    12,717.71x = 123,763,981.68
  5. Step 5: Solve for x
    x = 123,763,981.68/12,717.71
  6. Step 6: Final answer
    x = 9,731.63

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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.