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Finding the Fourth Proportional to 17,641.44, 24,341.04 and 10,188

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Solution

The fourth proportional to 17,641.44, 24,341.04 and 10,188 is: 14,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.44 : 24,341.04 = 10,188 : x
  2. Step 2: Convert to fraction form
    17,641.44/24,341.04 = 10,188/x
  3. Step 3: Cross multiply
    17,641.44x = 24,341.04 × 10,188
  4. Step 4: Simplify right side
    17,641.44x = 247,986,515.52
  5. Step 5: Solve for x
    x = 247,986,515.52/17,641.44
  6. Step 6: Final answer
    x = 14,057.04

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Why These Related Problems?

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