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Finding the Fourth Proportional to 16,526.41, 22,806.63 and 8,972.80

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Solution

The fourth proportional to 16,526.41, 22,806.63 and 8,972.80 is: 12,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526.41 : 22,806.63 = 8,972.80 : x
  2. Step 2: Convert to fraction form
    16,526.41/22,806.63 = 8,972.80/x
  3. Step 3: Cross multiply
    16,526.41x = 22,806.63 × 8,972.80
  4. Step 4: Simplify right side
    16,526.41x = 204,639,329.66
  5. Step 5: Solve for x
    x = 204,639,329.66/16,526.41
  6. Step 6: Final answer
    x = 12,382.56

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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.