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Finding the Fourth Proportional to 17,752.32, 24,490.08 and 10,296

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Solution

The fourth proportional to 17,752.32, 24,490.08 and 10,296 is: 14,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.32 : 24,490.08 = 10,296 : x
  2. Step 2: Convert to fraction form
    17,752.32/24,490.08 = 10,296/x
  3. Step 3: Cross multiply
    17,752.32x = 24,490.08 × 10,296
  4. Step 4: Simplify right side
    17,752.32x = 252,149,863.68
  5. Step 5: Solve for x
    x = 252,149,863.68/17,752.32
  6. Step 6: Final answer
    x = 14,203.77

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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.