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Finding the Fourth Proportional to 16,038.70, 22,133 and 8,965.78

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Solution

The fourth proportional to 16,038.70, 22,133 and 8,965.78 is: 12,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038.70 : 22,133 = 8,965.78 : x
  2. Step 2: Convert to fraction form
    16,038.70/22,133 = 8,965.78/x
  3. Step 3: Cross multiply
    16,038.70x = 22,133 × 8,965.78
  4. Step 4: Simplify right side
    16,038.70x = 198,439,608.74
  5. Step 5: Solve for x
    x = 198,439,608.74/16,038.70
  6. Step 6: Final answer
    x = 12,372.55

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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.