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Finding the Fourth Proportional to 18,133.20, 27,204.16 and 7,597.38

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Solution

The fourth proportional to 18,133.20, 27,204.16 and 7,597.38 is: 11,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,133.20 : 27,204.16 = 7,597.38 : x
  2. Step 2: Convert to fraction form
    18,133.20/27,204.16 = 7,597.38/x
  3. Step 3: Cross multiply
    18,133.20x = 27,204.16 × 7,597.38
  4. Step 4: Simplify right side
    18,133.20x = 206,680,341.10
  5. Step 5: Solve for x
    x = 206,680,341.10/18,133.20
  6. Step 6: Final answer
    x = 11,397.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.