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Finding the Fourth Proportional to 23,289.44, 32,142.17 and 13,731.44

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Solution

The fourth proportional to 23,289.44, 32,142.17 and 13,731.44 is: 18,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,289.44 : 32,142.17 = 13,731.44 : x
  2. Step 2: Convert to fraction form
    23,289.44/32,142.17 = 13,731.44/x
  3. Step 3: Cross multiply
    23,289.44x = 32,142.17 × 13,731.44
  4. Step 4: Simplify right side
    23,289.44x = 441,358,210.17
  5. Step 5: Solve for x
    x = 441,358,210.17/23,289.44
  6. Step 6: Final answer
    x = 18,951.00

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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.