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Finding the Fourth Proportional to 27,097.10, 40,645.65 and 15,433.10

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Solution

The fourth proportional to 27,097.10, 40,645.65 and 15,433.10 is: 23,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.10 : 40,645.65 = 15,433.10 : x
  2. Step 2: Convert to fraction form
    27,097.10/40,645.65 = 15,433.10/x
  3. Step 3: Cross multiply
    27,097.10x = 40,645.65 × 15,433.10
  4. Step 4: Simplify right side
    27,097.10x = 627,288,381.02
  5. Step 5: Solve for x
    x = 627,288,381.02/27,097.10
  6. Step 6: Final answer
    x = 23,149.65

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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.