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Finding the Fourth Proportional to 16,207.29, 22,367.86 and 9,402.82

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Solution

The fourth proportional to 16,207.29, 22,367.86 and 9,402.82 is: 12,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207.29 : 22,367.86 = 9,402.82 : x
  2. Step 2: Convert to fraction form
    16,207.29/22,367.86 = 9,402.82/x
  3. Step 3: Cross multiply
    16,207.29x = 22,367.86 × 9,402.82
  4. Step 4: Simplify right side
    16,207.29x = 210,320,881.94
  5. Step 5: Solve for x
    x = 210,320,881.94/16,207.29
  6. Step 6: Final answer
    x = 12,976.93

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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.