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Finding the Fourth Proportional to 15,231.84, 22,848.24 and 4,138.49

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Solution

The fourth proportional to 15,231.84, 22,848.24 and 4,138.49 is: 6,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,231.84 : 22,848.24 = 4,138.49 : x
  2. Step 2: Convert to fraction form
    15,231.84/22,848.24 = 4,138.49/x
  3. Step 3: Cross multiply
    15,231.84x = 22,848.24 × 4,138.49
  4. Step 4: Simplify right side
    15,231.84x = 94,557,098.52
  5. Step 5: Solve for x
    x = 94,557,098.52/15,231.84
  6. Step 6: Final answer
    x = 6,207.86

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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.