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Finding the Fourth Proportional to 17,752.88, 24,500.48 and 9,796

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Solution

The fourth proportional to 17,752.88, 24,500.48 and 9,796 is: 13,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.88 : 24,500.48 = 9,796 : x
  2. Step 2: Convert to fraction form
    17,752.88/24,500.48 = 9,796/x
  3. Step 3: Cross multiply
    17,752.88x = 24,500.48 × 9,796
  4. Step 4: Simplify right side
    17,752.88x = 240,006,702.08
  5. Step 5: Solve for x
    x = 240,006,702.08/17,752.88
  6. Step 6: Final answer
    x = 13,519.31

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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.