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Finding the Fourth Proportional to 17,393.82, 24,001.83 and 9,839.22

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Solution

The fourth proportional to 17,393.82, 24,001.83 and 9,839.22 is: 13,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,393.82 : 24,001.83 = 9,839.22 : x
  2. Step 2: Convert to fraction form
    17,393.82/24,001.83 = 9,839.22/x
  3. Step 3: Cross multiply
    17,393.82x = 24,001.83 × 9,839.22
  4. Step 4: Simplify right side
    17,393.82x = 236,159,285.77
  5. Step 5: Solve for x
    x = 236,159,285.77/17,393.82
  6. Step 6: Final answer
    x = 13,577.19

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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.