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Finding the Fourth Proportional to 16,402.93, 22,633.38 and 9,687.62

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Solution

The fourth proportional to 16,402.93, 22,633.38 and 9,687.62 is: 13,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.93 : 22,633.38 = 9,687.62 : x
  2. Step 2: Convert to fraction form
    16,402.93/22,633.38 = 9,687.62/x
  3. Step 3: Cross multiply
    16,402.93x = 22,633.38 × 9,687.62
  4. Step 4: Simplify right side
    16,402.93x = 219,263,641.34
  5. Step 5: Solve for x
    x = 219,263,641.34/16,402.93
  6. Step 6: Final answer
    x = 13,367.35

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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.