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Finding the Fourth Proportional to 24,843.60, 34,278.14 and 15,765.66

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Solution

The fourth proportional to 24,843.60, 34,278.14 and 15,765.66 is: 21,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.60 : 34,278.14 = 15,765.66 : x
  2. Step 2: Convert to fraction form
    24,843.60/34,278.14 = 15,765.66/x
  3. Step 3: Cross multiply
    24,843.60x = 34,278.14 × 15,765.66
  4. Step 4: Simplify right side
    24,843.60x = 540,417,421.84
  5. Step 5: Solve for x
    x = 540,417,421.84/24,843.60
  6. Step 6: Final answer
    x = 21,752.78

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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.