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Finding the Fourth Proportional to 20,145.60, 30,206.34 and 8,290.17

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Solution

The fourth proportional to 20,145.60, 30,206.34 and 8,290.17 is: 12,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145.60 : 30,206.34 = 8,290.17 : x
  2. Step 2: Convert to fraction form
    20,145.60/30,206.34 = 8,290.17/x
  3. Step 3: Cross multiply
    20,145.60x = 30,206.34 × 8,290.17
  4. Step 4: Simplify right side
    20,145.60x = 250,415,693.68
  5. Step 5: Solve for x
    x = 250,415,693.68/20,145.60
  6. Step 6: Final answer
    x = 12,430.29

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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.