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Finding the Fourth Proportional to 16,280.80, 24,421.20 and 7,532.80

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Solution

The fourth proportional to 16,280.80, 24,421.20 and 7,532.80 is: 11,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280.80 : 24,421.20 = 7,532.80 : x
  2. Step 2: Convert to fraction form
    16,280.80/24,421.20 = 7,532.80/x
  3. Step 3: Cross multiply
    16,280.80x = 24,421.20 × 7,532.80
  4. Step 4: Simplify right side
    16,280.80x = 183,960,015.36
  5. Step 5: Solve for x
    x = 183,960,015.36/16,280.80
  6. Step 6: Final answer
    x = 11,299.20

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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.