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Finding the Fourth Proportional to 23,730.60, 32,745.92 and 13,118.78

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Solution

The fourth proportional to 23,730.60, 32,745.92 and 13,118.78 is: 18,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,730.60 : 32,745.92 = 13,118.78 : x
  2. Step 2: Convert to fraction form
    23,730.60/32,745.92 = 13,118.78/x
  3. Step 3: Cross multiply
    23,730.60x = 32,745.92 × 13,118.78
  4. Step 4: Simplify right side
    23,730.60x = 429,586,520.38
  5. Step 5: Solve for x
    x = 429,586,520.38/23,730.60
  6. Step 6: Final answer
    x = 18,102.64

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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.