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Finding the Fourth Proportional to 16,202.64, 24,295.32 and 8,392.08

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Solution

The fourth proportional to 16,202.64, 24,295.32 and 8,392.08 is: 12,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.64 : 24,295.32 = 8,392.08 : x
  2. Step 2: Convert to fraction form
    16,202.64/24,295.32 = 8,392.08/x
  3. Step 3: Cross multiply
    16,202.64x = 24,295.32 × 8,392.08
  4. Step 4: Simplify right side
    16,202.64x = 203,888,269.07
  5. Step 5: Solve for x
    x = 203,888,269.07/16,202.64
  6. Step 6: Final answer
    x = 12,583.64

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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.