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Finding the Fourth Proportional to 16,196.25, 24,284.81 and 6,324.08

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Solution

The fourth proportional to 16,196.25, 24,284.81 and 6,324.08 is: 9,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.25 : 24,284.81 = 6,324.08 : x
  2. Step 2: Convert to fraction form
    16,196.25/24,284.81 = 6,324.08/x
  3. Step 3: Cross multiply
    16,196.25x = 24,284.81 × 6,324.08
  4. Step 4: Simplify right side
    16,196.25x = 153,578,975.61
  5. Step 5: Solve for x
    x = 153,578,975.61/16,196.25
  6. Step 6: Final answer
    x = 9,482.38

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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.