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Finding the Fourth Proportional to 17,233.40, 23,781.66 and 9,781.40

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Solution

The fourth proportional to 17,233.40, 23,781.66 and 9,781.40 is: 13,498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,233.40 : 23,781.66 = 9,781.40 : x
  2. Step 2: Convert to fraction form
    17,233.40/23,781.66 = 9,781.40/x
  3. Step 3: Cross multiply
    17,233.40x = 23,781.66 × 9,781.40
  4. Step 4: Simplify right side
    17,233.40x = 232,617,929.12
  5. Step 5: Solve for x
    x = 232,617,929.12/17,233.40
  6. Step 6: Final answer
    x = 13,498.09

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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.