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Finding the Fourth Proportional to 22,807.84, 31,474.52 and 12,736.46

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Solution

The fourth proportional to 22,807.84, 31,474.52 and 12,736.46 is: 17,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807.84 : 31,474.52 = 12,736.46 : x
  2. Step 2: Convert to fraction form
    22,807.84/31,474.52 = 12,736.46/x
  3. Step 3: Cross multiply
    22,807.84x = 31,474.52 × 12,736.46
  4. Step 4: Simplify right side
    22,807.84x = 400,873,743.94
  5. Step 5: Solve for x
    x = 400,873,743.94/22,807.84
  6. Step 6: Final answer
    x = 17,576.14

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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.