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Finding the Fourth Proportional to 16,497.41, 22,766.00 and 8,943.39

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Solution

The fourth proportional to 16,497.41, 22,766.00 and 8,943.39 is: 12,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.41 : 22,766.00 = 8,943.39 : x
  2. Step 2: Convert to fraction form
    16,497.41/22,766.00 = 8,943.39/x
  3. Step 3: Cross multiply
    16,497.41x = 22,766.00 × 8,943.39
  4. Step 4: Simplify right side
    16,497.41x = 203,605,172.02
  5. Step 5: Solve for x
    x = 203,605,172.02/16,497.41
  6. Step 6: Final answer
    x = 12,341.65

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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.