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Finding the Fourth Proportional to 23,731.60, 32,719.17 and 15,218.24

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Solution

The fourth proportional to 23,731.60, 32,719.17 and 15,218.24 is: 20,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,731.60 : 32,719.17 = 15,218.24 : x
  2. Step 2: Convert to fraction form
    23,731.60/32,719.17 = 15,218.24/x
  3. Step 3: Cross multiply
    23,731.60x = 32,719.17 × 15,218.24
  4. Step 4: Simplify right side
    23,731.60x = 497,928,181.66
  5. Step 5: Solve for x
    x = 497,928,181.66/23,731.60
  6. Step 6: Final answer
    x = 20,981.66

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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.