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Finding the Fourth Proportional to 16,105.12, 24,123.60 and 10,822.24

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Solution

The fourth proportional to 16,105.12, 24,123.60 and 10,822.24 is: 16,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.12 : 24,123.60 = 10,822.24 : x
  2. Step 2: Convert to fraction form
    16,105.12/24,123.60 = 10,822.24/x
  3. Step 3: Cross multiply
    16,105.12x = 24,123.60 × 10,822.24
  4. Step 4: Simplify right side
    16,105.12x = 261,071,388.86
  5. Step 5: Solve for x
    x = 261,071,388.86/16,105.12
  6. Step 6: Final answer
    x = 16,210.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.