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Finding the Fourth Proportional to 12,787.44, 17,646.62 and 7,122.26

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Solution

The fourth proportional to 12,787.44, 17,646.62 and 7,122.26 is: 9,828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.44 : 17,646.62 = 7,122.26 : x
  2. Step 2: Convert to fraction form
    12,787.44/17,646.62 = 7,122.26/x
  3. Step 3: Cross multiply
    12,787.44x = 17,646.62 × 7,122.26
  4. Step 4: Simplify right side
    12,787.44x = 125,683,691.92
  5. Step 5: Solve for x
    x = 125,683,691.92/12,787.44
  6. Step 6: Final answer
    x = 9,828.68

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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.