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Finding the Fourth Proportional to 15,465.60, 23,204.16 and 6,229.44

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Solution

The fourth proportional to 15,465.60, 23,204.16 and 6,229.44 is: 9,346.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,465.60 : 23,204.16 = 6,229.44 : x
  2. Step 2: Convert to fraction form
    15,465.60/23,204.16 = 6,229.44/x
  3. Step 3: Cross multiply
    15,465.60x = 23,204.16 × 6,229.44
  4. Step 4: Simplify right side
    15,465.60x = 144,548,922.47
  5. Step 5: Solve for x
    x = 144,548,922.47/15,465.60
  6. Step 6: Final answer
    x = 9,346.48

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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.