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Finding the Fourth Proportional to 22,838.31, 31,515.80 and 12,768.03

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Solution

The fourth proportional to 22,838.31, 31,515.80 and 12,768.03 is: 17,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.31 : 31,515.80 = 12,768.03 : x
  2. Step 2: Convert to fraction form
    22,838.31/31,515.80 = 12,768.03/x
  3. Step 3: Cross multiply
    22,838.31x = 31,515.80 × 12,768.03
  4. Step 4: Simplify right side
    22,838.31x = 402,394,616.03
  5. Step 5: Solve for x
    x = 402,394,616.03/22,838.31
  6. Step 6: Final answer
    x = 17,619.28

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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.