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Finding the Fourth Proportional to 12,801.71, 19,187.21 and 8,361.50

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Solution

The fourth proportional to 12,801.71, 19,187.21 and 8,361.50 is: 12,532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.71 : 19,187.21 = 8,361.50 : x
  2. Step 2: Convert to fraction form
    12,801.71/19,187.21 = 8,361.50/x
  3. Step 3: Cross multiply
    12,801.71x = 19,187.21 × 8,361.50
  4. Step 4: Simplify right side
    12,801.71x = 160,433,781.38
  5. Step 5: Solve for x
    x = 160,433,781.38/12,801.71
  6. Step 6: Final answer
    x = 12,532.21

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Why These Related Problems?

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