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Finding the Fourth Proportional to 23,695.60, 35,544.12 and 8,113

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Solution

The fourth proportional to 23,695.60, 35,544.12 and 8,113 is: 12,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,695.60 : 35,544.12 = 8,113 : x
  2. Step 2: Convert to fraction form
    23,695.60/35,544.12 = 8,113/x
  3. Step 3: Cross multiply
    23,695.60x = 35,544.12 × 8,113
  4. Step 4: Simplify right side
    23,695.60x = 288,369,445.56
  5. Step 5: Solve for x
    x = 288,369,445.56/23,695.60
  6. Step 6: Final answer
    x = 12,169.75

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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.