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Finding the Fourth Proportional to 16,024.40, 24,017.40 and 8,229.20

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Solution

The fourth proportional to 16,024.40, 24,017.40 and 8,229.20 is: 12,333.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.40 : 24,017.40 = 8,229.20 : x
  2. Step 2: Convert to fraction form
    16,024.40/24,017.40 = 8,229.20/x
  3. Step 3: Cross multiply
    16,024.40x = 24,017.40 × 8,229.20
  4. Step 4: Simplify right side
    16,024.40x = 197,643,988.08
  5. Step 5: Solve for x
    x = 197,643,988.08/16,024.40
  6. Step 6: Final answer
    x = 12,333.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.