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Finding the Fourth Proportional to 22,018.65, 32,971.59 and 12,146.96

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Solution

The fourth proportional to 22,018.65, 32,971.59 and 12,146.96 is: 18,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,018.65 : 32,971.59 = 12,146.96 : x
  2. Step 2: Convert to fraction form
    22,018.65/32,971.59 = 12,146.96/x
  3. Step 3: Cross multiply
    22,018.65x = 32,971.59 × 12,146.96
  4. Step 4: Simplify right side
    22,018.65x = 400,504,420.01
  5. Step 5: Solve for x
    x = 400,504,420.01/22,018.65
  6. Step 6: Final answer
    x = 18,189.33

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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.