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Finding the Fourth Proportional to 17,802, 24,566.36 and 9,844.29

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Solution

The fourth proportional to 17,802, 24,566.36 and 9,844.29 is: 13,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802 : 24,566.36 = 9,844.29 : x
  2. Step 2: Convert to fraction form
    17,802/24,566.36 = 9,844.29/x
  3. Step 3: Cross multiply
    17,802x = 24,566.36 × 9,844.29
  4. Step 4: Simplify right side
    17,802x = 241,838,322.86
  5. Step 5: Solve for x
    x = 241,838,322.86/17,802
  6. Step 6: Final answer
    x = 13,584.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.