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Finding the Fourth Proportional to 24,159.11, 36,197.65 and 11,685

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Solution

The fourth proportional to 24,159.11, 36,197.65 and 11,685 is: 17,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,159.11 : 36,197.65 = 11,685 : x
  2. Step 2: Convert to fraction form
    24,159.11/36,197.65 = 11,685/x
  3. Step 3: Cross multiply
    24,159.11x = 36,197.65 × 11,685
  4. Step 4: Simplify right side
    24,159.11x = 422,969,540.25
  5. Step 5: Solve for x
    x = 422,969,540.25/24,159.11
  6. Step 6: Final answer
    x = 17,507.66

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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.