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Finding the Fourth Proportional to 23,730.84, 32,751 and 13,659.66

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Solution

The fourth proportional to 23,730.84, 32,751 and 13,659.66 is: 18,851.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,730.84 : 32,751 = 13,659.66 : x
  2. Step 2: Convert to fraction form
    23,730.84/32,751 = 13,659.66/x
  3. Step 3: Cross multiply
    23,730.84x = 32,751 × 13,659.66
  4. Step 4: Simplify right side
    23,730.84x = 447,367,524.66
  5. Step 5: Solve for x
    x = 447,367,524.66/23,730.84
  6. Step 6: Final answer
    x = 18,851.74

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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.