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Finding the Fourth Proportional to 17,811.20, 24,575.04 and 11,516

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Solution

The fourth proportional to 17,811.20, 24,575.04 and 11,516 is: 15,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.20 : 24,575.04 = 11,516 : x
  2. Step 2: Convert to fraction form
    17,811.20/24,575.04 = 11,516/x
  3. Step 3: Cross multiply
    17,811.20x = 24,575.04 × 11,516
  4. Step 4: Simplify right side
    17,811.20x = 283,006,160.64
  5. Step 5: Solve for x
    x = 283,006,160.64/17,811.20
  6. Step 6: Final answer
    x = 15,889.22

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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.