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Finding the Fourth Proportional to 24,316.04, 36,474 and 6,785.96

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Solution

The fourth proportional to 24,316.04, 36,474 and 6,785.96 is: 10,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,316.04 : 36,474 = 6,785.96 : x
  2. Step 2: Convert to fraction form
    24,316.04/36,474 = 6,785.96/x
  3. Step 3: Cross multiply
    24,316.04x = 36,474 × 6,785.96
  4. Step 4: Simplify right side
    24,316.04x = 247,511,105.04
  5. Step 5: Solve for x
    x = 247,511,105.04/24,316.04
  6. Step 6: Final answer
    x = 10,178.92

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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.