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Finding the Fourth Proportional to 17,843.18, 24,623.75 and 9,886.14

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Solution

The fourth proportional to 17,843.18, 24,623.75 and 9,886.14 is: 13,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,843.18 : 24,623.75 = 9,886.14 : x
  2. Step 2: Convert to fraction form
    17,843.18/24,623.75 = 9,886.14/x
  3. Step 3: Cross multiply
    17,843.18x = 24,623.75 × 9,886.14
  4. Step 4: Simplify right side
    17,843.18x = 243,433,790.39
  5. Step 5: Solve for x
    x = 243,433,790.39/17,843.18
  6. Step 6: Final answer
    x = 13,642.96

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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.