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Finding the Fourth Proportional to 15,296.50, 22,944.47 and 4,203.14

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Solution

The fourth proportional to 15,296.50, 22,944.47 and 4,203.14 is: 6,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,296.50 : 22,944.47 = 4,203.14 : x
  2. Step 2: Convert to fraction form
    15,296.50/22,944.47 = 4,203.14/x
  3. Step 3: Cross multiply
    15,296.50x = 22,944.47 × 4,203.14
  4. Step 4: Simplify right side
    15,296.50x = 96,438,819.64
  5. Step 5: Solve for x
    x = 96,438,819.64/15,296.50
  6. Step 6: Final answer
    x = 6,304.63

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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.