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Finding the Fourth Proportional to 23,156.16, 34,696.92 and 12,046.20

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Solution

The fourth proportional to 23,156.16, 34,696.92 and 12,046.20 is: 18,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,156.16 : 34,696.92 = 12,046.20 : x
  2. Step 2: Convert to fraction form
    23,156.16/34,696.92 = 12,046.20/x
  3. Step 3: Cross multiply
    23,156.16x = 34,696.92 × 12,046.20
  4. Step 4: Simplify right side
    23,156.16x = 417,966,037.70
  5. Step 5: Solve for x
    x = 417,966,037.70/23,156.16
  6. Step 6: Final answer
    x = 18,049.89

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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.