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Finding the Fourth Proportional to 23,203.38, 32,019.57 and 12,592.92

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Solution

The fourth proportional to 23,203.38, 32,019.57 and 12,592.92 is: 17,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.38 : 32,019.57 = 12,592.92 : x
  2. Step 2: Convert to fraction form
    23,203.38/32,019.57 = 12,592.92/x
  3. Step 3: Cross multiply
    23,203.38x = 32,019.57 × 12,592.92
  4. Step 4: Simplify right side
    23,203.38x = 403,219,883.44
  5. Step 5: Solve for x
    x = 403,219,883.44/23,203.38
  6. Step 6: Final answer
    x = 17,377.64

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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.