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Finding the Fourth Proportional to 15,447.80, 23,114.28 and 9,211.20

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Solution

The fourth proportional to 15,447.80, 23,114.28 and 9,211.20 is: 13,782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,447.80 : 23,114.28 = 9,211.20 : x
  2. Step 2: Convert to fraction form
    15,447.80/23,114.28 = 9,211.20/x
  3. Step 3: Cross multiply
    15,447.80x = 23,114.28 × 9,211.20
  4. Step 4: Simplify right side
    15,447.80x = 212,910,255.94
  5. Step 5: Solve for x
    x = 212,910,255.94/15,447.80
  6. Step 6: Final answer
    x = 13,782.57

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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.