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Finding the Fourth Proportional to 22,905.64, 34,358.52 and 8,114.72

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Solution

The fourth proportional to 22,905.64, 34,358.52 and 8,114.72 is: 12,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,905.64 : 34,358.52 = 8,114.72 : x
  2. Step 2: Convert to fraction form
    22,905.64/34,358.52 = 8,114.72/x
  3. Step 3: Cross multiply
    22,905.64x = 34,358.52 × 8,114.72
  4. Step 4: Simplify right side
    22,905.64x = 278,809,769.41
  5. Step 5: Solve for x
    x = 278,809,769.41/22,905.64
  6. Step 6: Final answer
    x = 12,172.10

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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.