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Finding the Fourth Proportional to 22,818.60, 34,203.20 and 9,680.14

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Solution

The fourth proportional to 22,818.60, 34,203.20 and 9,680.14 is: 14,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,818.60 : 34,203.20 = 9,680.14 : x
  2. Step 2: Convert to fraction form
    22,818.60/34,203.20 = 9,680.14/x
  3. Step 3: Cross multiply
    22,818.60x = 34,203.20 × 9,680.14
  4. Step 4: Simplify right side
    22,818.60x = 331,091,764.45
  5. Step 5: Solve for x
    x = 331,091,764.45/22,818.60
  6. Step 6: Final answer
    x = 14,509.73

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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.