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Finding the Fourth Proportional to 22,981.92, 31,713.51 and 12,911.34

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Solution

The fourth proportional to 22,981.92, 31,713.51 and 12,911.34 is: 17,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,981.92 : 31,713.51 = 12,911.34 : x
  2. Step 2: Convert to fraction form
    22,981.92/31,713.51 = 12,911.34/x
  3. Step 3: Cross multiply
    22,981.92x = 31,713.51 × 12,911.34
  4. Step 4: Simplify right side
    22,981.92x = 409,463,910.20
  5. Step 5: Solve for x
    x = 409,463,910.20/22,981.92
  6. Step 6: Final answer
    x = 17,816.78

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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.