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Finding the Fourth Proportional to 15,860.86, 23,791.50 and 7,541.71

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Solution

The fourth proportional to 15,860.86, 23,791.50 and 7,541.71 is: 11,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,860.86 : 23,791.50 = 7,541.71 : x
  2. Step 2: Convert to fraction form
    15,860.86/23,791.50 = 7,541.71/x
  3. Step 3: Cross multiply
    15,860.86x = 23,791.50 × 7,541.71
  4. Step 4: Simplify right side
    15,860.86x = 179,428,593.47
  5. Step 5: Solve for x
    x = 179,428,593.47/15,860.86
  6. Step 6: Final answer
    x = 11,312.66

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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.