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Finding the Fourth Proportional to 18,564.19, 27,825.05 and 7,463.78

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Solution

The fourth proportional to 18,564.19, 27,825.05 and 7,463.78 is: 11,187.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.19 : 27,825.05 = 7,463.78 : x
  2. Step 2: Convert to fraction form
    18,564.19/27,825.05 = 7,463.78/x
  3. Step 3: Cross multiply
    18,564.19x = 27,825.05 × 7,463.78
  4. Step 4: Simplify right side
    18,564.19x = 207,680,035.57
  5. Step 5: Solve for x
    x = 207,680,035.57/18,564.19
  6. Step 6: Final answer
    x = 11,187.13

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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.