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Finding the Fourth Proportional to 21,142, 31,724.66 and 11,787.27

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Solution

The fourth proportional to 21,142, 31,724.66 and 11,787.27 is: 17,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142 : 31,724.66 = 11,787.27 : x
  2. Step 2: Convert to fraction form
    21,142/31,724.66 = 11,787.27/x
  3. Step 3: Cross multiply
    21,142x = 31,724.66 × 11,787.27
  4. Step 4: Simplify right side
    21,142x = 373,947,133.08
  5. Step 5: Solve for x
    x = 373,947,133.08/21,142
  6. Step 6: Final answer
    x = 17,687.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.