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Finding the Fourth Proportional to 12,716.50, 17,549.49 and 7,127.86

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Solution

The fourth proportional to 12,716.50, 17,549.49 and 7,127.86 is: 9,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.50 : 17,549.49 = 7,127.86 : x
  2. Step 2: Convert to fraction form
    12,716.50/17,549.49 = 7,127.86/x
  3. Step 3: Cross multiply
    12,716.50x = 17,549.49 × 7,127.86
  4. Step 4: Simplify right side
    12,716.50x = 125,090,307.79
  5. Step 5: Solve for x
    x = 125,090,307.79/12,716.50
  6. Step 6: Final answer
    x = 9,836.85

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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.