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Finding the Fourth Proportional to 22,714.83, 34,062.51 and 7,919.37

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Solution

The fourth proportional to 22,714.83, 34,062.51 and 7,919.37 is: 11,875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.83 : 34,062.51 = 7,919.37 : x
  2. Step 2: Convert to fraction form
    22,714.83/34,062.51 = 7,919.37/x
  3. Step 3: Cross multiply
    22,714.83x = 34,062.51 × 7,919.37
  4. Step 4: Simplify right side
    22,714.83x = 269,753,619.82
  5. Step 5: Solve for x
    x = 269,753,619.82/22,714.83
  6. Step 6: Final answer
    x = 11,875.66

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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.