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Finding the Fourth Proportional to 22,966.63, 31,691.50 and 12,896.17

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Solution

The fourth proportional to 22,966.63, 31,691.50 and 12,896.17 is: 17,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.63 : 31,691.50 = 12,896.17 : x
  2. Step 2: Convert to fraction form
    22,966.63/31,691.50 = 12,896.17/x
  3. Step 3: Cross multiply
    22,966.63x = 31,691.50 × 12,896.17
  4. Step 4: Simplify right side
    22,966.63x = 408,698,971.56
  5. Step 5: Solve for x
    x = 408,698,971.56/22,966.63
  6. Step 6: Final answer
    x = 17,795.34

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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.