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Finding the Fourth Proportional to 26,454.72, 39,689.12 and 9,589.44

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Solution

The fourth proportional to 26,454.72, 39,689.12 and 9,589.44 is: 14,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,454.72 : 39,689.12 = 9,589.44 : x
  2. Step 2: Convert to fraction form
    26,454.72/39,689.12 = 9,589.44/x
  3. Step 3: Cross multiply
    26,454.72x = 39,689.12 × 9,589.44
  4. Step 4: Simplify right side
    26,454.72x = 380,596,434.89
  5. Step 5: Solve for x
    x = 380,596,434.89/26,454.72
  6. Step 6: Final answer
    x = 14,386.71

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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.