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Finding the Fourth Proportional to 16,981.93, 23,433.81 and 9,812.17

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Solution

The fourth proportional to 16,981.93, 23,433.81 and 9,812.17 is: 13,540.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,981.93 : 23,433.81 = 9,812.17 : x
  2. Step 2: Convert to fraction form
    16,981.93/23,433.81 = 9,812.17/x
  3. Step 3: Cross multiply
    16,981.93x = 23,433.81 × 9,812.17
  4. Step 4: Simplify right side
    16,981.93x = 229,936,527.47
  5. Step 5: Solve for x
    x = 229,936,527.47/16,981.93
  6. Step 6: Final answer
    x = 13,540.07

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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.