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Finding the Fourth Proportional to 16,105.18, 22,222.59 and 10,447.68

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Solution

The fourth proportional to 16,105.18, 22,222.59 and 10,447.68 is: 14,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.18 : 22,222.59 = 10,447.68 : x
  2. Step 2: Convert to fraction form
    16,105.18/22,222.59 = 10,447.68/x
  3. Step 3: Cross multiply
    16,105.18x = 22,222.59 × 10,447.68
  4. Step 4: Simplify right side
    16,105.18x = 232,174,553.25
  5. Step 5: Solve for x
    x = 232,174,553.25/16,105.18
  6. Step 6: Final answer
    x = 14,416.14

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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.