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Finding the Fourth Proportional to 17,353.62, 23,947.05 and 10,182.57

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Solution

The fourth proportional to 17,353.62, 23,947.05 and 10,182.57 is: 14,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,353.62 : 23,947.05 = 10,182.57 : x
  2. Step 2: Convert to fraction form
    17,353.62/23,947.05 = 10,182.57/x
  3. Step 3: Cross multiply
    17,353.62x = 23,947.05 × 10,182.57
  4. Step 4: Simplify right side
    17,353.62x = 243,842,512.92
  5. Step 5: Solve for x
    x = 243,842,512.92/17,353.62
  6. Step 6: Final answer
    x = 14,051.39

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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.