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Finding the Fourth Proportional to 16,303.92, 24,458.64 and 5,629.80

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Solution

The fourth proportional to 16,303.92, 24,458.64 and 5,629.80 is: 8,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303.92 : 24,458.64 = 5,629.80 : x
  2. Step 2: Convert to fraction form
    16,303.92/24,458.64 = 5,629.80/x
  3. Step 3: Cross multiply
    16,303.92x = 24,458.64 × 5,629.80
  4. Step 4: Simplify right side
    16,303.92x = 137,697,251.47
  5. Step 5: Solve for x
    x = 137,697,251.47/16,303.92
  6. Step 6: Final answer
    x = 8,445.65

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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.