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Finding the Fourth Proportional to 22,848.38, 34,268.76 and 8,053.82

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Solution

The fourth proportional to 22,848.38, 34,268.76 and 8,053.82 is: 12,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,848.38 : 34,268.76 = 8,053.82 : x
  2. Step 2: Convert to fraction form
    22,848.38/34,268.76 = 8,053.82/x
  3. Step 3: Cross multiply
    22,848.38x = 34,268.76 × 8,053.82
  4. Step 4: Simplify right side
    22,848.38x = 275,994,424.66
  5. Step 5: Solve for x
    x = 275,994,424.66/22,848.38
  6. Step 6: Final answer
    x = 12,079.39

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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.