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Finding the Fourth Proportional to 24,781.57, 34,199.58 and 14,171.20

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Solution

The fourth proportional to 24,781.57, 34,199.58 and 14,171.20 is: 19,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,781.57 : 34,199.58 = 14,171.20 : x
  2. Step 2: Convert to fraction form
    24,781.57/34,199.58 = 14,171.20/x
  3. Step 3: Cross multiply
    24,781.57x = 34,199.58 × 14,171.20
  4. Step 4: Simplify right side
    24,781.57x = 484,649,088.10
  5. Step 5: Solve for x
    x = 484,649,088.10/24,781.57
  6. Step 6: Final answer
    x = 19,556.84

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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.