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Finding the Fourth Proportional to 23,787.84, 35,682.24 and 7,148.16

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Solution

The fourth proportional to 23,787.84, 35,682.24 and 7,148.16 is: 10,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,787.84 : 35,682.24 = 7,148.16 : x
  2. Step 2: Convert to fraction form
    23,787.84/35,682.24 = 7,148.16/x
  3. Step 3: Cross multiply
    23,787.84x = 35,682.24 × 7,148.16
  4. Step 4: Simplify right side
    23,787.84x = 255,062,360.68
  5. Step 5: Solve for x
    x = 255,062,360.68/23,787.84
  6. Step 6: Final answer
    x = 10,722.38

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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.