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Finding the Fourth Proportional to 16,501.86, 22,773.15 and 11,797.38

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Solution

The fourth proportional to 16,501.86, 22,773.15 and 11,797.38 is: 16,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,501.86 : 22,773.15 = 11,797.38 : x
  2. Step 2: Convert to fraction form
    16,501.86/22,773.15 = 11,797.38/x
  3. Step 3: Cross multiply
    16,501.86x = 22,773.15 × 11,797.38
  4. Step 4: Simplify right side
    16,501.86x = 268,663,504.35
  5. Step 5: Solve for x
    x = 268,663,504.35/16,501.86
  6. Step 6: Final answer
    x = 16,280.80

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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.