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Finding the Fourth Proportional to 23,674, 32,672.28 and 13,605.52

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Solution

The fourth proportional to 23,674, 32,672.28 and 13,605.52 is: 18,776.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,674 : 32,672.28 = 13,605.52 : x
  2. Step 2: Convert to fraction form
    23,674/32,672.28 = 13,605.52/x
  3. Step 3: Cross multiply
    23,674x = 32,672.28 × 13,605.52
  4. Step 4: Simplify right side
    23,674x = 444,523,358.99
  5. Step 5: Solve for x
    x = 444,523,358.99/23,674
  6. Step 6: Final answer
    x = 18,776.86

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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.