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Finding the Fourth Proportional to 23,781.88, 32,819 and 13,171.52

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Solution

The fourth proportional to 23,781.88, 32,819 and 13,171.52 is: 18,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,781.88 : 32,819 = 13,171.52 : x
  2. Step 2: Convert to fraction form
    23,781.88/32,819 = 13,171.52/x
  3. Step 3: Cross multiply
    23,781.88x = 32,819 × 13,171.52
  4. Step 4: Simplify right side
    23,781.88x = 432,276,114.88
  5. Step 5: Solve for x
    x = 432,276,114.88/23,781.88
  6. Step 6: Final answer
    x = 18,176.70

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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.