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Finding the Fourth Proportional to 27,494, 41,248.04 and 9,026.16

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Solution

The fourth proportional to 27,494, 41,248.04 and 9,026.16 is: 13,541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494 : 41,248.04 = 9,026.16 : x
  2. Step 2: Convert to fraction form
    27,494/41,248.04 = 9,026.16/x
  3. Step 3: Cross multiply
    27,494x = 41,248.04 × 9,026.16
  4. Step 4: Simplify right side
    27,494x = 372,311,408.73
  5. Step 5: Solve for x
    x = 372,311,408.73/27,494
  6. Step 6: Final answer
    x = 13,541.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.