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Finding the Fourth Proportional to 23,143.52, 34,714.12 and 8,151.38

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Solution

The fourth proportional to 23,143.52, 34,714.12 and 8,151.38 is: 12,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.52 : 34,714.12 = 8,151.38 : x
  2. Step 2: Convert to fraction form
    23,143.52/34,714.12 = 8,151.38/x
  3. Step 3: Cross multiply
    23,143.52x = 34,714.12 × 8,151.38
  4. Step 4: Simplify right side
    23,143.52x = 282,967,983.49
  5. Step 5: Solve for x
    x = 282,967,983.49/23,143.52
  6. Step 6: Final answer
    x = 12,226.66

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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.