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Finding the Fourth Proportional to 16,144.36, 24,218.07 and 6,284.41

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Solution

The fourth proportional to 16,144.36, 24,218.07 and 6,284.41 is: 9,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.36 : 24,218.07 = 6,284.41 : x
  2. Step 2: Convert to fraction form
    16,144.36/24,218.07 = 6,284.41/x
  3. Step 3: Cross multiply
    16,144.36x = 24,218.07 × 6,284.41
  4. Step 4: Simplify right side
    16,144.36x = 152,196,281.29
  5. Step 5: Solve for x
    x = 152,196,281.29/16,144.36
  6. Step 6: Final answer
    x = 9,427.21

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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.