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Finding the Fourth Proportional to 16,064, 22,144.02 and 13,813.82

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Solution

The fourth proportional to 16,064, 22,144.02 and 13,813.82 is: 19,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064 : 22,144.02 = 13,813.82 : x
  2. Step 2: Convert to fraction form
    16,064/22,144.02 = 13,813.82/x
  3. Step 3: Cross multiply
    16,064x = 22,144.02 × 13,813.82
  4. Step 4: Simplify right side
    16,064x = 305,893,506.36
  5. Step 5: Solve for x
    x = 305,893,506.36/16,064
  6. Step 6: Final answer
    x = 19,042.18

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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.