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Finding the Fourth Proportional to 24,468.64, 36,699.87 and 7,830.43

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Solution

The fourth proportional to 24,468.64, 36,699.87 and 7,830.43 is: 11,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,468.64 : 36,699.87 = 7,830.43 : x
  2. Step 2: Convert to fraction form
    24,468.64/36,699.87 = 7,830.43/x
  3. Step 3: Cross multiply
    24,468.64x = 36,699.87 × 7,830.43
  4. Step 4: Simplify right side
    24,468.64x = 287,375,763.04
  5. Step 5: Solve for x
    x = 287,375,763.04/24,468.64
  6. Step 6: Final answer
    x = 11,744.66

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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.