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Finding the Fourth Proportional to 16,243.74, 24,365.78 and 5,714.05

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Solution

The fourth proportional to 16,243.74, 24,365.78 and 5,714.05 is: 8,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.74 : 24,365.78 = 5,714.05 : x
  2. Step 2: Convert to fraction form
    16,243.74/24,365.78 = 5,714.05/x
  3. Step 3: Cross multiply
    16,243.74x = 24,365.78 × 5,714.05
  4. Step 4: Simplify right side
    16,243.74x = 139,227,285.21
  5. Step 5: Solve for x
    x = 139,227,285.21/16,243.74
  6. Step 6: Final answer
    x = 8,571.13

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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.