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Finding the Fourth Proportional to 23,148.34, 34,520.17 and 20,596.84

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Solution

The fourth proportional to 23,148.34, 34,520.17 and 20,596.84 is: 30,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,148.34 : 34,520.17 = 20,596.84 : x
  2. Step 2: Convert to fraction form
    23,148.34/34,520.17 = 20,596.84/x
  3. Step 3: Cross multiply
    23,148.34x = 34,520.17 × 20,596.84
  4. Step 4: Simplify right side
    23,148.34x = 711,006,375.11
  5. Step 5: Solve for x
    x = 711,006,375.11/23,148.34
  6. Step 6: Final answer
    x = 30,715.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.