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Finding the Fourth Proportional to 24,314.08, 36,470.96 and 6,784

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Solution

The fourth proportional to 24,314.08, 36,470.96 and 6,784 is: 10,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.08 : 36,470.96 = 6,784 : x
  2. Step 2: Convert to fraction form
    24,314.08/36,470.96 = 6,784/x
  3. Step 3: Cross multiply
    24,314.08x = 36,470.96 × 6,784
  4. Step 4: Simplify right side
    24,314.08x = 247,418,992.64
  5. Step 5: Solve for x
    x = 247,418,992.64/24,314.08
  6. Step 6: Final answer
    x = 10,175.96

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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.