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Finding the Fourth Proportional to 22,714.58, 34,073.79 and 7,132.22

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Solution

The fourth proportional to 22,714.58, 34,073.79 and 7,132.22 is: 10,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.58 : 34,073.79 = 7,132.22 : x
  2. Step 2: Convert to fraction form
    22,714.58/34,073.79 = 7,132.22/x
  3. Step 3: Cross multiply
    22,714.58x = 34,073.79 × 7,132.22
  4. Step 4: Simplify right side
    22,714.58x = 243,021,766.51
  5. Step 5: Solve for x
    x = 243,021,766.51/22,714.58
  6. Step 6: Final answer
    x = 10,698.93

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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.