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Finding the Fourth Proportional to 25,420.44, 38,123.36 and 9,834.42

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Solution

The fourth proportional to 25,420.44, 38,123.36 and 9,834.42 is: 14,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,420.44 : 38,123.36 = 9,834.42 : x
  2. Step 2: Convert to fraction form
    25,420.44/38,123.36 = 9,834.42/x
  3. Step 3: Cross multiply
    25,420.44x = 38,123.36 × 9,834.42
  4. Step 4: Simplify right side
    25,420.44x = 374,921,084.88
  5. Step 5: Solve for x
    x = 374,921,084.88/25,420.44
  6. Step 6: Final answer
    x = 14,748.80

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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.