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Finding the Fourth Proportional to 13,423.76, 18,542.21 and 10,217.58

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Solution

The fourth proportional to 13,423.76, 18,542.21 and 10,217.58 is: 14,113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.76 : 18,542.21 = 10,217.58 : x
  2. Step 2: Convert to fraction form
    13,423.76/18,542.21 = 10,217.58/x
  3. Step 3: Cross multiply
    13,423.76x = 18,542.21 × 10,217.58
  4. Step 4: Simplify right side
    13,423.76x = 189,456,514.05
  5. Step 5: Solve for x
    x = 189,456,514.05/13,423.76
  6. Step 6: Final answer
    x = 14,113.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.