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Finding the Fourth Proportional to 15,238.41, 22,859.10 and 5,377.20

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Solution

The fourth proportional to 15,238.41, 22,859.10 and 5,377.20 is: 8,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.41 : 22,859.10 = 5,377.20 : x
  2. Step 2: Convert to fraction form
    15,238.41/22,859.10 = 5,377.20/x
  3. Step 3: Cross multiply
    15,238.41x = 22,859.10 × 5,377.20
  4. Step 4: Simplify right side
    15,238.41x = 122,917,952.52
  5. Step 5: Solve for x
    x = 122,917,952.52/15,238.41
  6. Step 6: Final answer
    x = 8,066.32

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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.