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Finding the Fourth Proportional to 13,872.94, 20,810.01 and 4,013.21

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Solution

The fourth proportional to 13,872.94, 20,810.01 and 4,013.21 is: 6,019.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.94 : 20,810.01 = 4,013.21 : x
  2. Step 2: Convert to fraction form
    13,872.94/20,810.01 = 4,013.21/x
  3. Step 3: Cross multiply
    13,872.94x = 20,810.01 × 4,013.21
  4. Step 4: Simplify right side
    13,872.94x = 83,514,940.23
  5. Step 5: Solve for x
    x = 83,514,940.23/13,872.94
  6. Step 6: Final answer
    x = 6,019.99

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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.