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Finding the Fourth Proportional to 16,586.76, 24,864.50 and 8,258.90

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Solution

The fourth proportional to 16,586.76, 24,864.50 and 8,258.90 is: 12,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.76 : 24,864.50 = 8,258.90 : x
  2. Step 2: Convert to fraction form
    16,586.76/24,864.50 = 8,258.90/x
  3. Step 3: Cross multiply
    16,586.76x = 24,864.50 × 8,258.90
  4. Step 4: Simplify right side
    16,586.76x = 205,353,419.05
  5. Step 5: Solve for x
    x = 205,353,419.05/16,586.76
  6. Step 6: Final answer
    x = 12,380.56

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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.