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Finding the Fourth Proportional to 13,436.68, 20,121.50 and 8,491.40

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Solution

The fourth proportional to 13,436.68, 20,121.50 and 8,491.40 is: 12,715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436.68 : 20,121.50 = 8,491.40 : x
  2. Step 2: Convert to fraction form
    13,436.68/20,121.50 = 8,491.40/x
  3. Step 3: Cross multiply
    13,436.68x = 20,121.50 × 8,491.40
  4. Step 4: Simplify right side
    13,436.68x = 170,859,705.10
  5. Step 5: Solve for x
    x = 170,859,705.10/13,436.68
  6. Step 6: Final answer
    x = 12,715.92

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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.