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Finding the Fourth Proportional to 23,254.81, 34,861.69 and 8,461.14

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Solution

The fourth proportional to 23,254.81, 34,861.69 and 8,461.14 is: 12,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,254.81 : 34,861.69 = 8,461.14 : x
  2. Step 2: Convert to fraction form
    23,254.81/34,861.69 = 8,461.14/x
  3. Step 3: Cross multiply
    23,254.81x = 34,861.69 × 8,461.14
  4. Step 4: Simplify right side
    23,254.81x = 294,969,639.73
  5. Step 5: Solve for x
    x = 294,969,639.73/23,254.81
  6. Step 6: Final answer
    x = 12,684.24

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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.