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Finding the Fourth Proportional to 24,607.65, 36,909.66 and 9,819.90

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Solution

The fourth proportional to 24,607.65, 36,909.66 and 9,819.90 is: 14,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,607.65 : 36,909.66 = 9,819.90 : x
  2. Step 2: Convert to fraction form
    24,607.65/36,909.66 = 9,819.90/x
  3. Step 3: Cross multiply
    24,607.65x = 36,909.66 × 9,819.90
  4. Step 4: Simplify right side
    24,607.65x = 362,449,170.23
  5. Step 5: Solve for x
    x = 362,449,170.23/24,607.65
  6. Step 6: Final answer
    x = 14,729.13

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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.