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Finding the Fourth Proportional to 22,462.68, 33,714.77 and 11,377.16

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Solution

The fourth proportional to 22,462.68, 33,714.77 and 11,377.16 is: 17,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.68 : 33,714.77 = 11,377.16 : x
  2. Step 2: Convert to fraction form
    22,462.68/33,714.77 = 11,377.16/x
  3. Step 3: Cross multiply
    22,462.68x = 33,714.77 × 11,377.16
  4. Step 4: Simplify right side
    22,462.68x = 383,578,332.65
  5. Step 5: Solve for x
    x = 383,578,332.65/22,462.68
  6. Step 6: Final answer
    x = 17,076.25

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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.