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Finding the Fourth Proportional to 22,407.57, 33,632.10 and 11,322.06

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Solution

The fourth proportional to 22,407.57, 33,632.10 and 11,322.06 is: 16,993.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,407.57 : 33,632.10 = 11,322.06 : x
  2. Step 2: Convert to fraction form
    22,407.57/33,632.10 = 11,322.06/x
  3. Step 3: Cross multiply
    22,407.57x = 33,632.10 × 11,322.06
  4. Step 4: Simplify right side
    22,407.57x = 380,784,654.13
  5. Step 5: Solve for x
    x = 380,784,654.13/22,407.57
  6. Step 6: Final answer
    x = 16,993.57

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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.