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Finding the Fourth Proportional to 27,013.02, 40,520.34 and 8,292.30

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Solution

The fourth proportional to 27,013.02, 40,520.34 and 8,292.30 is: 12,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,013.02 : 40,520.34 = 8,292.30 : x
  2. Step 2: Convert to fraction form
    27,013.02/40,520.34 = 8,292.30/x
  3. Step 3: Cross multiply
    27,013.02x = 40,520.34 × 8,292.30
  4. Step 4: Simplify right side
    27,013.02x = 336,006,815.38
  5. Step 5: Solve for x
    x = 336,006,815.38/27,013.02
  6. Step 6: Final answer
    x = 12,438.70

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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.