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Finding the Fourth Proportional to 13,409.58, 20,112 and 3,549

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Solution

The fourth proportional to 13,409.58, 20,112 and 3,549 is: 5,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.58 : 20,112 = 3,549 : x
  2. Step 2: Convert to fraction form
    13,409.58/20,112 = 3,549/x
  3. Step 3: Cross multiply
    13,409.58x = 20,112 × 3,549
  4. Step 4: Simplify right side
    13,409.58x = 71,377,488
  5. Step 5: Solve for x
    x = 71,377,488/13,409.58
  6. Step 6: Final answer
    x = 5,322.87

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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.