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Finding the Fourth Proportional to 13,787.60, 20,664.99 and 7,931.91

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Solution

The fourth proportional to 13,787.60, 20,664.99 and 7,931.91 is: 11,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787.60 : 20,664.99 = 7,931.91 : x
  2. Step 2: Convert to fraction form
    13,787.60/20,664.99 = 7,931.91/x
  3. Step 3: Cross multiply
    13,787.60x = 20,664.99 × 7,931.91
  4. Step 4: Simplify right side
    13,787.60x = 163,912,840.83
  5. Step 5: Solve for x
    x = 163,912,840.83/13,787.60
  6. Step 6: Final answer
    x = 11,888.43

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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.