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Finding the Fourth Proportional to 14,781.52, 20,406.02 and 11,416.78

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Solution

The fourth proportional to 14,781.52, 20,406.02 and 11,416.78 is: 15,760.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,781.52 : 20,406.02 = 11,416.78 : x
  2. Step 2: Convert to fraction form
    14,781.52/20,406.02 = 11,416.78/x
  3. Step 3: Cross multiply
    14,781.52x = 20,406.02 × 11,416.78
  4. Step 4: Simplify right side
    14,781.52x = 232,971,041.02
  5. Step 5: Solve for x
    x = 232,971,041.02/14,781.52
  6. Step 6: Final answer
    x = 15,760.97

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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.