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Finding the Fourth Proportional to 15,614.96, 23,408.84 and 7,290.80

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Solution

The fourth proportional to 15,614.96, 23,408.84 and 7,290.80 is: 10,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614.96 : 23,408.84 = 7,290.80 : x
  2. Step 2: Convert to fraction form
    15,614.96/23,408.84 = 7,290.80/x
  3. Step 3: Cross multiply
    15,614.96x = 23,408.84 × 7,290.80
  4. Step 4: Simplify right side
    15,614.96x = 170,669,170.67
  5. Step 5: Solve for x
    x = 170,669,170.67/15,614.96
  6. Step 6: Final answer
    x = 10,929.85

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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.