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Finding the Fourth Proportional to 27,724.40, 38,255.80 and 15,787.16

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Solution

The fourth proportional to 27,724.40, 38,255.80 and 15,787.16 is: 21,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724.40 : 38,255.80 = 15,787.16 : x
  2. Step 2: Convert to fraction form
    27,724.40/38,255.80 = 15,787.16/x
  3. Step 3: Cross multiply
    27,724.40x = 38,255.80 × 15,787.16
  4. Step 4: Simplify right side
    27,724.40x = 603,950,435.53
  5. Step 5: Solve for x
    x = 603,950,435.53/27,724.40
  6. Step 6: Final answer
    x = 21,784.08

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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.