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Finding the Fourth Proportional to 17,891.16, 24,690.24 and 9,933

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Solution

The fourth proportional to 17,891.16, 24,690.24 and 9,933 is: 13,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,891.16 : 24,690.24 = 9,933 : x
  2. Step 2: Convert to fraction form
    17,891.16/24,690.24 = 9,933/x
  3. Step 3: Cross multiply
    17,891.16x = 24,690.24 × 9,933
  4. Step 4: Simplify right side
    17,891.16x = 245,248,153.92
  5. Step 5: Solve for x
    x = 245,248,153.92/17,891.16
  6. Step 6: Final answer
    x = 13,707.78

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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.