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Finding the Fourth Proportional to 18,561.36, 25,614 and 10,177.68

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Solution

The fourth proportional to 18,561.36, 25,614 and 10,177.68 is: 14,044.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561.36 : 25,614 = 10,177.68 : x
  2. Step 2: Convert to fraction form
    18,561.36/25,614 = 10,177.68/x
  3. Step 3: Cross multiply
    18,561.36x = 25,614 × 10,177.68
  4. Step 4: Simplify right side
    18,561.36x = 260,691,095.52
  5. Step 5: Solve for x
    x = 260,691,095.52/18,561.36
  6. Step 6: Final answer
    x = 14,044.83

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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.