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Finding the Fourth Proportional to 13,954.76, 20,932.18 and 3,424.82

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Solution

The fourth proportional to 13,954.76, 20,932.18 and 3,424.82 is: 5,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.76 : 20,932.18 = 3,424.82 : x
  2. Step 2: Convert to fraction form
    13,954.76/20,932.18 = 3,424.82/x
  3. Step 3: Cross multiply
    13,954.76x = 20,932.18 × 3,424.82
  4. Step 4: Simplify right side
    13,954.76x = 71,688,948.71
  5. Step 5: Solve for x
    x = 71,688,948.71/13,954.76
  6. Step 6: Final answer
    x = 5,137.24

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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.