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Finding the Fourth Proportional to 15,716.77, 23,575.89 and 5,187.71

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Solution

The fourth proportional to 15,716.77, 23,575.89 and 5,187.71 is: 7,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.77 : 23,575.89 = 5,187.71 : x
  2. Step 2: Convert to fraction form
    15,716.77/23,575.89 = 5,187.71/x
  3. Step 3: Cross multiply
    15,716.77x = 23,575.89 × 5,187.71
  4. Step 4: Simplify right side
    15,716.77x = 122,304,736.49
  5. Step 5: Solve for x
    x = 122,304,736.49/15,716.77
  6. Step 6: Final answer
    x = 7,781.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.