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Finding the Fourth Proportional to 27,049.72, 40,586.88 and 13,894.92

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Solution

The fourth proportional to 27,049.72, 40,586.88 and 13,894.92 is: 20,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,049.72 : 40,586.88 = 13,894.92 : x
  2. Step 2: Convert to fraction form
    27,049.72/40,586.88 = 13,894.92/x
  3. Step 3: Cross multiply
    27,049.72x = 40,586.88 × 13,894.92
  4. Step 4: Simplify right side
    27,049.72x = 563,951,450.65
  5. Step 5: Solve for x
    x = 563,951,450.65/27,049.72
  6. Step 6: Final answer
    x = 20,848.70

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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.