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Finding the Fourth Proportional to 20,878.90, 31,321.59 and 7,026.82

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Solution

The fourth proportional to 20,878.90, 31,321.59 and 7,026.82 is: 10,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.90 : 31,321.59 = 7,026.82 : x
  2. Step 2: Convert to fraction form
    20,878.90/31,321.59 = 7,026.82/x
  3. Step 3: Cross multiply
    20,878.90x = 31,321.59 × 7,026.82
  4. Step 4: Simplify right side
    20,878.90x = 220,091,175.04
  5. Step 5: Solve for x
    x = 220,091,175.04/20,878.90
  6. Step 6: Final answer
    x = 10,541.32

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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.