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Finding the Fourth Proportional to 23,757.66, 32,785.20 and 13,002.24

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Solution

The fourth proportional to 23,757.66, 32,785.20 and 13,002.24 is: 17,942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,757.66 : 32,785.20 = 13,002.24 : x
  2. Step 2: Convert to fraction form
    23,757.66/32,785.20 = 13,002.24/x
  3. Step 3: Cross multiply
    23,757.66x = 32,785.20 × 13,002.24
  4. Step 4: Simplify right side
    23,757.66x = 426,281,038.85
  5. Step 5: Solve for x
    x = 426,281,038.85/23,757.66
  6. Step 6: Final answer
    x = 17,942.89

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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.