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Finding the Fourth Proportional to 16,543.05, 22,820.16 and 10,165.21

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Solution

The fourth proportional to 16,543.05, 22,820.16 and 10,165.21 is: 14,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.05 : 22,820.16 = 10,165.21 : x
  2. Step 2: Convert to fraction form
    16,543.05/22,820.16 = 10,165.21/x
  3. Step 3: Cross multiply
    16,543.05x = 22,820.16 × 10,165.21
  4. Step 4: Simplify right side
    16,543.05x = 231,971,699.70
  5. Step 5: Solve for x
    x = 231,971,699.70/16,543.05
  6. Step 6: Final answer
    x = 14,022.31

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