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Finding the Fourth Proportional to 20,407.20, 30,610.80 and 14,186.40

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Solution

The fourth proportional to 20,407.20, 30,610.80 and 14,186.40 is: 21,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,407.20 : 30,610.80 = 14,186.40 : x
  2. Step 2: Convert to fraction form
    20,407.20/30,610.80 = 14,186.40/x
  3. Step 3: Cross multiply
    20,407.20x = 30,610.80 × 14,186.40
  4. Step 4: Simplify right side
    20,407.20x = 434,257,053.12
  5. Step 5: Solve for x
    x = 434,257,053.12/20,407.20
  6. Step 6: Final answer
    x = 21,279.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.