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Finding the Fourth Proportional to 17,938.35, 24,751.17 and 10,384.22

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Solution

The fourth proportional to 17,938.35, 24,751.17 and 10,384.22 is: 14,328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,938.35 : 24,751.17 = 10,384.22 : x
  2. Step 2: Convert to fraction form
    17,938.35/24,751.17 = 10,384.22/x
  3. Step 3: Cross multiply
    17,938.35x = 24,751.17 × 10,384.22
  4. Step 4: Simplify right side
    17,938.35x = 257,021,470.78
  5. Step 5: Solve for x
    x = 257,021,470.78/17,938.35
  6. Step 6: Final answer
    x = 14,328.04

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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.