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Finding the Fourth Proportional to 24,504.85, 36,752.88 and 6,493.20

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Solution

The fourth proportional to 24,504.85, 36,752.88 and 6,493.20 is: 9,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,504.85 : 36,752.88 = 6,493.20 : x
  2. Step 2: Convert to fraction form
    24,504.85/36,752.88 = 6,493.20/x
  3. Step 3: Cross multiply
    24,504.85x = 36,752.88 × 6,493.20
  4. Step 4: Simplify right side
    24,504.85x = 238,643,800.42
  5. Step 5: Solve for x
    x = 238,643,800.42/24,504.85
  6. Step 6: Final answer
    x = 9,738.64

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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.