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Finding the Fourth Proportional to 17,933.29, 24,748.40 and 9,867.14

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Solution

The fourth proportional to 17,933.29, 24,748.40 and 9,867.14 is: 13,616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,933.29 : 24,748.40 = 9,867.14 : x
  2. Step 2: Convert to fraction form
    17,933.29/24,748.40 = 9,867.14/x
  3. Step 3: Cross multiply
    17,933.29x = 24,748.40 × 9,867.14
  4. Step 4: Simplify right side
    17,933.29x = 244,195,927.58
  5. Step 5: Solve for x
    x = 244,195,927.58/17,933.29
  6. Step 6: Final answer
    x = 13,616.91

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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.