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Finding the Fourth Proportional to 16,039.71, 22,135.14 and 8,965.98

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Solution

The fourth proportional to 16,039.71, 22,135.14 and 8,965.98 is: 12,373.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,039.71 : 22,135.14 = 8,965.98 : x
  2. Step 2: Convert to fraction form
    16,039.71/22,135.14 = 8,965.98/x
  3. Step 3: Cross multiply
    16,039.71x = 22,135.14 × 8,965.98
  4. Step 4: Simplify right side
    16,039.71x = 198,463,222.54
  5. Step 5: Solve for x
    x = 198,463,222.54/16,039.71
  6. Step 6: Final answer
    x = 12,373.24

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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.