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Finding the Fourth Proportional to 24,317.12, 36,473.79 and 7,677.65

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Solution

The fourth proportional to 24,317.12, 36,473.79 and 7,677.65 is: 11,515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,317.12 : 36,473.79 = 7,677.65 : x
  2. Step 2: Convert to fraction form
    24,317.12/36,473.79 = 7,677.65/x
  3. Step 3: Cross multiply
    24,317.12x = 36,473.79 × 7,677.65
  4. Step 4: Simplify right side
    24,317.12x = 280,032,993.79
  5. Step 5: Solve for x
    x = 280,032,993.79/24,317.12
  6. Step 6: Final answer
    x = 11,515.88

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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.