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Finding the Fourth Proportional to 23,702.92, 32,709.12 and 13,092.32

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Solution

The fourth proportional to 23,702.92, 32,709.12 and 13,092.32 is: 18,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702.92 : 32,709.12 = 13,092.32 : x
  2. Step 2: Convert to fraction form
    23,702.92/32,709.12 = 13,092.32/x
  3. Step 3: Cross multiply
    23,702.92x = 32,709.12 × 13,092.32
  4. Step 4: Simplify right side
    23,702.92x = 428,238,265.96
  5. Step 5: Solve for x
    x = 428,238,265.96/23,702.92
  6. Step 6: Final answer
    x = 18,066.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.