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Finding the Fourth Proportional to 20,187.60, 30,281.40 and 12,314.40

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Solution

The fourth proportional to 20,187.60, 30,281.40 and 12,314.40 is: 18,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,187.60 : 30,281.40 = 12,314.40 : x
  2. Step 2: Convert to fraction form
    20,187.60/30,281.40 = 12,314.40/x
  3. Step 3: Cross multiply
    20,187.60x = 30,281.40 × 12,314.40
  4. Step 4: Simplify right side
    20,187.60x = 372,897,272.16
  5. Step 5: Solve for x
    x = 372,897,272.16/20,187.60
  6. Step 6: Final answer
    x = 18,471.60

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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.