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Finding the Fourth Proportional to 22,648.97, 31,253.09 and 12,958.53

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Solution

The fourth proportional to 22,648.97, 31,253.09 and 12,958.53 is: 17,881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.97 : 31,253.09 = 12,958.53 : x
  2. Step 2: Convert to fraction form
    22,648.97/31,253.09 = 12,958.53/x
  3. Step 3: Cross multiply
    22,648.97x = 31,253.09 × 12,958.53
  4. Step 4: Simplify right side
    22,648.97x = 404,994,039.57
  5. Step 5: Solve for x
    x = 404,994,039.57/22,648.97
  6. Step 6: Final answer
    x = 17,881.35

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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.