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Finding the Fourth Proportional to 23,034.04, 34,538.74 and 8,234.90

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Solution

The fourth proportional to 23,034.04, 34,538.74 and 8,234.90 is: 12,347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,034.04 : 34,538.74 = 8,234.90 : x
  2. Step 2: Convert to fraction form
    23,034.04/34,538.74 = 8,234.90/x
  3. Step 3: Cross multiply
    23,034.04x = 34,538.74 × 8,234.90
  4. Step 4: Simplify right side
    23,034.04x = 284,423,006.27
  5. Step 5: Solve for x
    x = 284,423,006.27/23,034.04
  6. Step 6: Final answer
    x = 12,347.94

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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.