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Finding the Fourth Proportional to 24,000.10, 36,000.15 and 8,419.30

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Solution

The fourth proportional to 24,000.10, 36,000.15 and 8,419.30 is: 12,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000.10 : 36,000.15 = 8,419.30 : x
  2. Step 2: Convert to fraction form
    24,000.10/36,000.15 = 8,419.30/x
  3. Step 3: Cross multiply
    24,000.10x = 36,000.15 × 8,419.30
  4. Step 4: Simplify right side
    24,000.10x = 303,096,062.90
  5. Step 5: Solve for x
    x = 303,096,062.90/24,000.10
  6. Step 6: Final answer
    x = 12,628.95

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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.