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Finding the Fourth Proportional to 26,165.33, 39,248.14 and 6,443.74

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Solution

The fourth proportional to 26,165.33, 39,248.14 and 6,443.74 is: 9,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,165.33 : 39,248.14 = 6,443.74 : x
  2. Step 2: Convert to fraction form
    26,165.33/39,248.14 = 6,443.74/x
  3. Step 3: Cross multiply
    26,165.33x = 39,248.14 × 6,443.74
  4. Step 4: Simplify right side
    26,165.33x = 252,904,809.64
  5. Step 5: Solve for x
    x = 252,904,809.64/26,165.33
  6. Step 6: Final answer
    x = 9,665.65

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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.