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Finding the Fourth Proportional to 24,589.80, 36,859.50 and 9,778.68

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Solution

The fourth proportional to 24,589.80, 36,859.50 and 9,778.68 is: 14,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,589.80 : 36,859.50 = 9,778.68 : x
  2. Step 2: Convert to fraction form
    24,589.80/36,859.50 = 9,778.68/x
  3. Step 3: Cross multiply
    24,589.80x = 36,859.50 × 9,778.68
  4. Step 4: Simplify right side
    24,589.80x = 360,437,255.46
  5. Step 5: Solve for x
    x = 360,437,255.46/24,589.80
  6. Step 6: Final answer
    x = 14,658.00

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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.