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Finding the Fourth Proportional to 20,275.60, 30,403.68 and 10,409.80

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Solution

The fourth proportional to 20,275.60, 30,403.68 and 10,409.80 is: 15,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275.60 : 30,403.68 = 10,409.80 : x
  2. Step 2: Convert to fraction form
    20,275.60/30,403.68 = 10,409.80/x
  3. Step 3: Cross multiply
    20,275.60x = 30,403.68 × 10,409.80
  4. Step 4: Simplify right side
    20,275.60x = 316,496,228.06
  5. Step 5: Solve for x
    x = 316,496,228.06/20,275.60
  6. Step 6: Final answer
    x = 15,609.71

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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.