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Finding the Fourth Proportional to 20,508.70, 30,777.45 and 8,830.30

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Solution

The fourth proportional to 20,508.70, 30,777.45 and 8,830.30 is: 13,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.70 : 30,777.45 = 8,830.30 : x
  2. Step 2: Convert to fraction form
    20,508.70/30,777.45 = 8,830.30/x
  3. Step 3: Cross multiply
    20,508.70x = 30,777.45 × 8,830.30
  4. Step 4: Simplify right side
    20,508.70x = 271,774,116.74
  5. Step 5: Solve for x
    x = 271,774,116.74/20,508.70
  6. Step 6: Final answer
    x = 13,251.65

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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.