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Finding the Fourth Proportional to 23,702.32, 35,558.64 and 8,120.32

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Solution

The fourth proportional to 23,702.32, 35,558.64 and 8,120.32 is: 12,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702.32 : 35,558.64 = 8,120.32 : x
  2. Step 2: Convert to fraction form
    23,702.32/35,558.64 = 8,120.32/x
  3. Step 3: Cross multiply
    23,702.32x = 35,558.64 × 8,120.32
  4. Step 4: Simplify right side
    23,702.32x = 288,747,535.56
  5. Step 5: Solve for x
    x = 288,747,535.56/23,702.32
  6. Step 6: Final answer
    x = 12,182.25

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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.