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Finding the Fourth Proportional to 17,473.38, 24,113.70 and 9,516.04

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Solution

The fourth proportional to 17,473.38, 24,113.70 and 9,516.04 is: 13,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,473.38 : 24,113.70 = 9,516.04 : x
  2. Step 2: Convert to fraction form
    17,473.38/24,113.70 = 9,516.04/x
  3. Step 3: Cross multiply
    17,473.38x = 24,113.70 × 9,516.04
  4. Step 4: Simplify right side
    17,473.38x = 229,466,933.75
  5. Step 5: Solve for x
    x = 229,466,933.75/17,473.38
  6. Step 6: Final answer
    x = 13,132.37

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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.