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Finding the Fourth Proportional to 13,805.60, 20,708.40 and 10,087.70

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Solution

The fourth proportional to 13,805.60, 20,708.40 and 10,087.70 is: 15,131.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.60 : 20,708.40 = 10,087.70 : x
  2. Step 2: Convert to fraction form
    13,805.60/20,708.40 = 10,087.70/x
  3. Step 3: Cross multiply
    13,805.60x = 20,708.40 × 10,087.70
  4. Step 4: Simplify right side
    13,805.60x = 208,900,126.68
  5. Step 5: Solve for x
    x = 208,900,126.68/13,805.60
  6. Step 6: Final answer
    x = 15,131.55

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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.