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Finding the Fourth Proportional to 16,285.60, 24,429.20 and 8,509.60

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Solution

The fourth proportional to 16,285.60, 24,429.20 and 8,509.60 is: 12,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.60 : 24,429.20 = 8,509.60 : x
  2. Step 2: Convert to fraction form
    16,285.60/24,429.20 = 8,509.60/x
  3. Step 3: Cross multiply
    16,285.60x = 24,429.20 × 8,509.60
  4. Step 4: Simplify right side
    16,285.60x = 207,882,720.32
  5. Step 5: Solve for x
    x = 207,882,720.32/16,285.60
  6. Step 6: Final answer
    x = 12,764.82

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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.