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Finding the Fourth Proportional to 16,384.20, 24,560.10 and 8,057.40

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Solution

The fourth proportional to 16,384.20, 24,560.10 and 8,057.40 is: 12,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.20 : 24,560.10 = 8,057.40 : x
  2. Step 2: Convert to fraction form
    16,384.20/24,560.10 = 8,057.40/x
  3. Step 3: Cross multiply
    16,384.20x = 24,560.10 × 8,057.40
  4. Step 4: Simplify right side
    16,384.20x = 197,890,549.74
  5. Step 5: Solve for x
    x = 197,890,549.74/16,384.20
  6. Step 6: Final answer
    x = 12,078.13

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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.