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Finding the Fourth Proportional to 16,001.75, 24,003.07 and 4,314.94

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Solution

The fourth proportional to 16,001.75, 24,003.07 and 4,314.94 is: 6,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001.75 : 24,003.07 = 4,314.94 : x
  2. Step 2: Convert to fraction form
    16,001.75/24,003.07 = 4,314.94/x
  3. Step 3: Cross multiply
    16,001.75x = 24,003.07 × 4,314.94
  4. Step 4: Simplify right side
    16,001.75x = 103,571,736.07
  5. Step 5: Solve for x
    x = 103,571,736.07/16,001.75
  6. Step 6: Final answer
    x = 6,472.52

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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.