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Finding the Fourth Proportional to 17,635.90, 24,337.58 and 9,678.19

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Solution

The fourth proportional to 17,635.90, 24,337.58 and 9,678.19 is: 13,355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.90 : 24,337.58 = 9,678.19 : x
  2. Step 2: Convert to fraction form
    17,635.90/24,337.58 = 9,678.19/x
  3. Step 3: Cross multiply
    17,635.90x = 24,337.58 × 9,678.19
  4. Step 4: Simplify right side
    17,635.90x = 235,543,723.38
  5. Step 5: Solve for x
    x = 235,543,723.38/17,635.90
  6. Step 6: Final answer
    x = 13,355.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.