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Finding the Fourth Proportional to 15,941.68, 22,000.20 and 9,227.60

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Solution

The fourth proportional to 15,941.68, 22,000.20 and 9,227.60 is: 12,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,941.68 : 22,000.20 = 9,227.60 : x
  2. Step 2: Convert to fraction form
    15,941.68/22,000.20 = 9,227.60/x
  3. Step 3: Cross multiply
    15,941.68x = 22,000.20 × 9,227.60
  4. Step 4: Simplify right side
    15,941.68x = 203,009,045.52
  5. Step 5: Solve for x
    x = 203,009,045.52/15,941.68
  6. Step 6: Final answer
    x = 12,734.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.