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Finding the Fourth Proportional to 24,499.80, 36,752.94 and 7,854.30

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Solution

The fourth proportional to 24,499.80, 36,752.94 and 7,854.30 is: 11,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,499.80 : 36,752.94 = 7,854.30 : x
  2. Step 2: Convert to fraction form
    24,499.80/36,752.94 = 7,854.30/x
  3. Step 3: Cross multiply
    24,499.80x = 36,752.94 × 7,854.30
  4. Step 4: Simplify right side
    24,499.80x = 288,668,616.64
  5. Step 5: Solve for x
    x = 288,668,616.64/24,499.80
  6. Step 6: Final answer
    x = 11,782.49

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1.5x scale

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.