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Finding the Fourth Proportional to 15,616.29, 23,414.06 and 8,599.61

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Solution

The fourth proportional to 15,616.29, 23,414.06 and 8,599.61 is: 12,893.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616.29 : 23,414.06 = 8,599.61 : x
  2. Step 2: Convert to fraction form
    15,616.29/23,414.06 = 8,599.61/x
  3. Step 3: Cross multiply
    15,616.29x = 23,414.06 × 8,599.61
  4. Step 4: Simplify right side
    15,616.29x = 201,351,719.58
  5. Step 5: Solve for x
    x = 201,351,719.58/15,616.29
  6. Step 6: Final answer
    x = 12,893.70

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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.