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Finding the Fourth Proportional to 24,456.84, 36,690.53 and 7,589.52

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Solution

The fourth proportional to 24,456.84, 36,690.53 and 7,589.52 is: 11,385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,456.84 : 36,690.53 = 7,589.52 : x
  2. Step 2: Convert to fraction form
    24,456.84/36,690.53 = 7,589.52/x
  3. Step 3: Cross multiply
    24,456.84x = 36,690.53 × 7,589.52
  4. Step 4: Simplify right side
    24,456.84x = 278,463,473.30
  5. Step 5: Solve for x
    x = 278,463,473.30/24,456.84
  6. Step 6: Final answer
    x = 11,385.92

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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.