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Finding the Fourth Proportional to 16,228.80, 24,352.80 and 5,839.20

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Solution

The fourth proportional to 16,228.80, 24,352.80 and 5,839.20 is: 8,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.80 : 24,352.80 = 5,839.20 : x
  2. Step 2: Convert to fraction form
    16,228.80/24,352.80 = 5,839.20/x
  3. Step 3: Cross multiply
    16,228.80x = 24,352.80 × 5,839.20
  4. Step 4: Simplify right side
    16,228.80x = 142,200,869.76
  5. Step 5: Solve for x
    x = 142,200,869.76/16,228.80
  6. Step 6: Final answer
    x = 8,762.25

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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.