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Finding the Fourth Proportional to 17,635.57, 24,337.38 and 9,678.53

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Solution

The fourth proportional to 17,635.57, 24,337.38 and 9,678.53 is: 13,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.57 : 24,337.38 = 9,678.53 : x
  2. Step 2: Convert to fraction form
    17,635.57/24,337.38 = 9,678.53/x
  3. Step 3: Cross multiply
    17,635.57x = 24,337.38 × 9,678.53
  4. Step 4: Simplify right side
    17,635.57x = 235,550,123.29
  5. Step 5: Solve for x
    x = 235,550,123.29/17,635.57
  6. Step 6: Final answer
    x = 13,356.54

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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.