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Finding the Fourth Proportional to 13,275.80, 18,320.25 and 7,226.17

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Solution

The fourth proportional to 13,275.80, 18,320.25 and 7,226.17 is: 9,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275.80 : 18,320.25 = 7,226.17 : x
  2. Step 2: Convert to fraction form
    13,275.80/18,320.25 = 7,226.17/x
  3. Step 3: Cross multiply
    13,275.80x = 18,320.25 × 7,226.17
  4. Step 4: Simplify right side
    13,275.80x = 132,385,149.34
  5. Step 5: Solve for x
    x = 132,385,149.34/13,275.80
  6. Step 6: Final answer
    x = 9,971.92

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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.