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Finding the Fourth Proportional to 14,557.86, 20,092.25 and 11,419.52

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Solution

The fourth proportional to 14,557.86, 20,092.25 and 11,419.52 is: 15,760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.86 : 20,092.25 = 11,419.52 : x
  2. Step 2: Convert to fraction form
    14,557.86/20,092.25 = 11,419.52/x
  3. Step 3: Cross multiply
    14,557.86x = 20,092.25 × 11,419.52
  4. Step 4: Simplify right side
    14,557.86x = 229,443,778.81
  5. Step 5: Solve for x
    x = 229,443,778.81/14,557.86
  6. Step 6: Final answer
    x = 15,760.82

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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.