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Finding the Fourth Proportional to 16,000.80, 24,001.14 and 12,309.60

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Solution

The fourth proportional to 16,000.80, 24,001.14 and 12,309.60 is: 18,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.80 : 24,001.14 = 12,309.60 : x
  2. Step 2: Convert to fraction form
    16,000.80/24,001.14 = 12,309.60/x
  3. Step 3: Cross multiply
    16,000.80x = 24,001.14 × 12,309.60
  4. Step 4: Simplify right side
    16,000.80x = 295,444,432.94
  5. Step 5: Solve for x
    x = 295,444,432.94/16,000.80
  6. Step 6: Final answer
    x = 18,464.35

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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.