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Finding the Fourth Proportional to 23,245.97, 31,838.30 and 21,882.17

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Solution

The fourth proportional to 23,245.97, 31,838.30 and 21,882.17 is: 29,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,245.97 : 31,838.30 = 21,882.17 : x
  2. Step 2: Convert to fraction form
    23,245.97/31,838.30 = 21,882.17/x
  3. Step 3: Cross multiply
    23,245.97x = 31,838.30 × 21,882.17
  4. Step 4: Simplify right side
    23,245.97x = 696,690,824.51
  5. Step 5: Solve for x
    x = 696,690,824.51/23,245.97
  6. Step 6: Final answer
    x = 29,970.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.