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Finding the Fourth Proportional to 18,641.07, 27,941.33 and 9,288

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Solution

The fourth proportional to 18,641.07, 27,941.33 and 9,288 is: 13,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641.07 : 27,941.33 = 9,288 : x
  2. Step 2: Convert to fraction form
    18,641.07/27,941.33 = 9,288/x
  3. Step 3: Cross multiply
    18,641.07x = 27,941.33 × 9,288
  4. Step 4: Simplify right side
    18,641.07x = 259,519,073.04
  5. Step 5: Solve for x
    x = 259,519,073.04/18,641.07
  6. Step 6: Final answer
    x = 13,921.90

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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.