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Finding the Fourth Proportional to 24,451.20, 36,677.07 and 7,811.10

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Solution

The fourth proportional to 24,451.20, 36,677.07 and 7,811.10 is: 11,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,451.20 : 36,677.07 = 7,811.10 : x
  2. Step 2: Convert to fraction form
    24,451.20/36,677.07 = 7,811.10/x
  3. Step 3: Cross multiply
    24,451.20x = 36,677.07 × 7,811.10
  4. Step 4: Simplify right side
    24,451.20x = 286,488,261.48
  5. Step 5: Solve for x
    x = 286,488,261.48/24,451.20
  6. Step 6: Final answer
    x = 11,716.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.