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Finding the Fourth Proportional to 15,294.14, 22,937.05 and 4,198.20

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Solution

The fourth proportional to 15,294.14, 22,937.05 and 4,198.20 is: 6,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,294.14 : 22,937.05 = 4,198.20 : x
  2. Step 2: Convert to fraction form
    15,294.14/22,937.05 = 4,198.20/x
  3. Step 3: Cross multiply
    15,294.14x = 22,937.05 × 4,198.20
  4. Step 4: Simplify right side
    15,294.14x = 96,294,323.31
  5. Step 5: Solve for x
    x = 96,294,323.31/15,294.14
  6. Step 6: Final answer
    x = 6,296.16

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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.