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Finding the Fourth Proportional to 15,641.64, 21,568.80 and 12,787.68

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Solution

The fourth proportional to 15,641.64, 21,568.80 and 12,787.68 is: 17,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641.64 : 21,568.80 = 12,787.68 : x
  2. Step 2: Convert to fraction form
    15,641.64/21,568.80 = 12,787.68/x
  3. Step 3: Cross multiply
    15,641.64x = 21,568.80 × 12,787.68
  4. Step 4: Simplify right side
    15,641.64x = 275,814,912.38
  5. Step 5: Solve for x
    x = 275,814,912.38/15,641.64
  6. Step 6: Final answer
    x = 17,633.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.