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Finding the Fourth Proportional to 16,100.98, 22,214.80 and 10,435.96

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Solution

The fourth proportional to 16,100.98, 22,214.80 and 10,435.96 is: 14,398.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100.98 : 22,214.80 = 10,435.96 : x
  2. Step 2: Convert to fraction form
    16,100.98/22,214.80 = 10,435.96/x
  3. Step 3: Cross multiply
    16,100.98x = 22,214.80 × 10,435.96
  4. Step 4: Simplify right side
    16,100.98x = 231,832,838.15
  5. Step 5: Solve for x
    x = 231,832,838.15/16,100.98
  6. Step 6: Final answer
    x = 14,398.68

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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.