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Finding the Fourth Proportional to 24,315.69, 36,473.52 and 7,687.40

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Solution

The fourth proportional to 24,315.69, 36,473.52 and 7,687.40 is: 11,531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315.69 : 36,473.52 = 7,687.40 : x
  2. Step 2: Convert to fraction form
    24,315.69/36,473.52 = 7,687.40/x
  3. Step 3: Cross multiply
    24,315.69x = 36,473.52 × 7,687.40
  4. Step 4: Simplify right side
    24,315.69x = 280,386,355.28
  5. Step 5: Solve for x
    x = 280,386,355.28/24,315.69
  6. Step 6: Final answer
    x = 11,531.09

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Why These Related Problems?

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