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Finding the Fourth Proportional to 12,513.18, 17,269.38 and 7,209.12

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Solution

The fourth proportional to 12,513.18, 17,269.38 and 7,209.12 is: 9,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.18 : 17,269.38 = 7,209.12 : x
  2. Step 2: Convert to fraction form
    12,513.18/17,269.38 = 7,209.12/x
  3. Step 3: Cross multiply
    12,513.18x = 17,269.38 × 7,209.12
  4. Step 4: Simplify right side
    12,513.18x = 124,497,032.75
  5. Step 5: Solve for x
    x = 124,497,032.75/12,513.18
  6. Step 6: Final answer
    x = 9,949.27

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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.