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Finding the Fourth Proportional to 22,435.20, 30,960.42 and 13,009.20

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Solution

The fourth proportional to 22,435.20, 30,960.42 and 13,009.20 is: 17,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,435.20 : 30,960.42 = 13,009.20 : x
  2. Step 2: Convert to fraction form
    22,435.20/30,960.42 = 13,009.20/x
  3. Step 3: Cross multiply
    22,435.20x = 30,960.42 × 13,009.20
  4. Step 4: Simplify right side
    22,435.20x = 402,770,295.86
  5. Step 5: Solve for x
    x = 402,770,295.86/22,435.20
  6. Step 6: Final answer
    x = 17,952.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.