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Finding the Fourth Proportional to 17,636.32, 24,334.32 and 10,180

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Solution

The fourth proportional to 17,636.32, 24,334.32 and 10,180 is: 14,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,636.32 : 24,334.32 = 10,180 : x
  2. Step 2: Convert to fraction form
    17,636.32/24,334.32 = 10,180/x
  3. Step 3: Cross multiply
    17,636.32x = 24,334.32 × 10,180
  4. Step 4: Simplify right side
    17,636.32x = 247,723,377.60
  5. Step 5: Solve for x
    x = 247,723,377.60/17,636.32
  6. Step 6: Final answer
    x = 14,046.21

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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.