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Finding the Fourth Proportional to 17,956.52, 24,780 and 9,999.48

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Solution

The fourth proportional to 17,956.52, 24,780 and 9,999.48 is: 13,799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,956.52 : 24,780 = 9,999.48 : x
  2. Step 2: Convert to fraction form
    17,956.52/24,780 = 9,999.48/x
  3. Step 3: Cross multiply
    17,956.52x = 24,780 × 9,999.48
  4. Step 4: Simplify right side
    17,956.52x = 247,787,114.40
  5. Step 5: Solve for x
    x = 247,787,114.40/17,956.52
  6. Step 6: Final answer
    x = 13,799.29

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1.5x scale

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.