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Finding the Fourth Proportional to 16,435.59, 22,682.71 and 9,723.38

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Solution

The fourth proportional to 16,435.59, 22,682.71 and 9,723.38 is: 13,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435.59 : 22,682.71 = 9,723.38 : x
  2. Step 2: Convert to fraction form
    16,435.59/22,682.71 = 9,723.38/x
  3. Step 3: Cross multiply
    16,435.59x = 22,682.71 × 9,723.38
  4. Step 4: Simplify right side
    16,435.59x = 220,552,446.73
  5. Step 5: Solve for x
    x = 220,552,446.73/16,435.59
  6. Step 6: Final answer
    x = 13,419.20

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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.