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Finding the Fourth Proportional to 12,909.38, 17,813.84 and 7,243.35

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Solution

The fourth proportional to 12,909.38, 17,813.84 and 7,243.35 is: 9,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.38 : 17,813.84 = 7,243.35 : x
  2. Step 2: Convert to fraction form
    12,909.38/17,813.84 = 7,243.35/x
  3. Step 3: Cross multiply
    12,909.38x = 17,813.84 × 7,243.35
  4. Step 4: Simplify right side
    12,909.38x = 129,031,841.75
  5. Step 5: Solve for x
    x = 129,031,841.75/12,909.38
  6. Step 6: Final answer
    x = 9,995.20

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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.