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Finding the Fourth Proportional to 22,671.54, 33,987.87 and 7,871.22

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Solution

The fourth proportional to 22,671.54, 33,987.87 and 7,871.22 is: 11,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,671.54 : 33,987.87 = 7,871.22 : x
  2. Step 2: Convert to fraction form
    22,671.54/33,987.87 = 7,871.22/x
  3. Step 3: Cross multiply
    22,671.54x = 33,987.87 × 7,871.22
  4. Step 4: Simplify right side
    22,671.54x = 267,526,002.10
  5. Step 5: Solve for x
    x = 267,526,002.10/22,671.54
  6. Step 6: Final answer
    x = 11,800.08

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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.