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Finding the Fourth Proportional to 23,541, 32,489.46 and 13,605

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Solution

The fourth proportional to 23,541, 32,489.46 and 13,605 is: 18,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,541 : 32,489.46 = 13,605 : x
  2. Step 2: Convert to fraction form
    23,541/32,489.46 = 13,605/x
  3. Step 3: Cross multiply
    23,541x = 32,489.46 × 13,605
  4. Step 4: Simplify right side
    23,541x = 442,019,103.30
  5. Step 5: Solve for x
    x = 442,019,103.30/23,541
  6. Step 6: Final answer
    x = 18,776.56

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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.