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Finding the Fourth Proportional to 16,108.02, 22,224.51 and 10,443

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Solution

The fourth proportional to 16,108.02, 22,224.51 and 10,443 is: 14,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,108.02 : 22,224.51 = 10,443 : x
  2. Step 2: Convert to fraction form
    16,108.02/22,224.51 = 10,443/x
  3. Step 3: Cross multiply
    16,108.02x = 22,224.51 × 10,443
  4. Step 4: Simplify right side
    16,108.02x = 232,090,557.93
  5. Step 5: Solve for x
    x = 232,090,557.93/16,108.02
  6. Step 6: Final answer
    x = 14,408.39

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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.