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Finding the Fourth Proportional to 22,005.66, 33,014.01 and 10,167.80

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Solution

The fourth proportional to 22,005.66, 33,014.01 and 10,167.80 is: 15,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005.66 : 33,014.01 = 10,167.80 : x
  2. Step 2: Convert to fraction form
    22,005.66/33,014.01 = 10,167.80/x
  3. Step 3: Cross multiply
    22,005.66x = 33,014.01 × 10,167.80
  4. Step 4: Simplify right side
    22,005.66x = 335,679,971.54
  5. Step 5: Solve for x
    x = 335,679,971.54/22,005.66
  6. Step 6: Final answer
    x = 15,254.26

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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.