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Finding the Fourth Proportional to 16,199.83, 22,355.42 and 9,126.13

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Solution

The fourth proportional to 16,199.83, 22,355.42 and 9,126.13 is: 12,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.83 : 22,355.42 = 9,126.13 : x
  2. Step 2: Convert to fraction form
    16,199.83/22,355.42 = 9,126.13/x
  3. Step 3: Cross multiply
    16,199.83x = 22,355.42 × 9,126.13
  4. Step 4: Simplify right side
    16,199.83x = 204,018,423.49
  5. Step 5: Solve for x
    x = 204,018,423.49/16,199.83
  6. Step 6: Final answer
    x = 12,593.86

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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.