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Finding the Fourth Proportional to 22,981.67, 31,713.99 and 12,911.21

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Solution

The fourth proportional to 22,981.67, 31,713.99 and 12,911.21 is: 17,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,981.67 : 31,713.99 = 12,911.21 : x
  2. Step 2: Convert to fraction form
    22,981.67/31,713.99 = 12,911.21/x
  3. Step 3: Cross multiply
    22,981.67x = 31,713.99 × 12,911.21
  4. Step 4: Simplify right side
    22,981.67x = 409,465,984.83
  5. Step 5: Solve for x
    x = 409,465,984.83/22,981.67
  6. Step 6: Final answer
    x = 17,817.07

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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.