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Finding the Fourth Proportional to 16,039.38, 22,135.35 and 8,966.82

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Solution

The fourth proportional to 16,039.38, 22,135.35 and 8,966.82 is: 12,374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,039.38 : 22,135.35 = 8,966.82 : x
  2. Step 2: Convert to fraction form
    16,039.38/22,135.35 = 8,966.82/x
  3. Step 3: Cross multiply
    16,039.38x = 22,135.35 × 8,966.82
  4. Step 4: Simplify right side
    16,039.38x = 198,483,699.09
  5. Step 5: Solve for x
    x = 198,483,699.09/16,039.38
  6. Step 6: Final answer
    x = 12,374.77

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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.