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Finding the Fourth Proportional to 20,101.90, 30,154.65 and 8,412.70

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Solution

The fourth proportional to 20,101.90, 30,154.65 and 8,412.70 is: 12,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.90 : 30,154.65 = 8,412.70 : x
  2. Step 2: Convert to fraction form
    20,101.90/30,154.65 = 8,412.70/x
  3. Step 3: Cross multiply
    20,101.90x = 30,154.65 × 8,412.70
  4. Step 4: Simplify right side
    20,101.90x = 253,682,024.06
  5. Step 5: Solve for x
    x = 253,682,024.06/20,101.90
  6. Step 6: Final answer
    x = 12,619.80

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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.