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Finding the Fourth Proportional to 23,114.70, 34,672.05 and 19,834.20

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Solution

The fourth proportional to 23,114.70, 34,672.05 and 19,834.20 is: 29,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.70 : 34,672.05 = 19,834.20 : x
  2. Step 2: Convert to fraction form
    23,114.70/34,672.05 = 19,834.20/x
  3. Step 3: Cross multiply
    23,114.70x = 34,672.05 × 19,834.20
  4. Step 4: Simplify right side
    23,114.70x = 687,692,374.11
  5. Step 5: Solve for x
    x = 687,692,374.11/23,114.70
  6. Step 6: Final answer
    x = 29,751.30

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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.