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Finding the Fourth Proportional to 13,806.80, 20,689.72 and 10,140.88

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Solution

The fourth proportional to 13,806.80, 20,689.72 and 10,140.88 is: 15,196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.80 : 20,689.72 = 10,140.88 : x
  2. Step 2: Convert to fraction form
    13,806.80/20,689.72 = 10,140.88/x
  3. Step 3: Cross multiply
    13,806.80x = 20,689.72 × 10,140.88
  4. Step 4: Simplify right side
    13,806.80x = 209,811,967.75
  5. Step 5: Solve for x
    x = 209,811,967.75/13,806.80
  6. Step 6: Final answer
    x = 15,196.28

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1.5x scale

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.