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Finding the Fourth Proportional to 12,748.18, 17,594.22 and 7,160.26

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Solution

The fourth proportional to 12,748.18, 17,594.22 and 7,160.26 is: 9,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,748.18 : 17,594.22 = 7,160.26 : x
  2. Step 2: Convert to fraction form
    12,748.18/17,594.22 = 7,160.26/x
  3. Step 3: Cross multiply
    12,748.18x = 17,594.22 × 7,160.26
  4. Step 4: Simplify right side
    12,748.18x = 125,979,189.70
  5. Step 5: Solve for x
    x = 125,979,189.70/12,748.18
  6. Step 6: Final answer
    x = 9,882.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.