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Finding the Fourth Proportional to 17,697.80, 24,423.96 and 10,145.38

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Solution

The fourth proportional to 17,697.80, 24,423.96 and 10,145.38 is: 14,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.80 : 24,423.96 = 10,145.38 : x
  2. Step 2: Convert to fraction form
    17,697.80/24,423.96 = 10,145.38/x
  3. Step 3: Cross multiply
    17,697.80x = 24,423.96 × 10,145.38
  4. Step 4: Simplify right side
    17,697.80x = 247,790,294.24
  5. Step 5: Solve for x
    x = 247,790,294.24/17,697.80
  6. Step 6: Final answer
    x = 14,001.20

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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.