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Finding the Fourth Proportional to 16,216.38, 24,315.39 and 9,646.74

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Solution

The fourth proportional to 16,216.38, 24,315.39 and 9,646.74 is: 14,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.38 : 24,315.39 = 9,646.74 : x
  2. Step 2: Convert to fraction form
    16,216.38/24,315.39 = 9,646.74/x
  3. Step 3: Cross multiply
    16,216.38x = 24,315.39 × 9,646.74
  4. Step 4: Simplify right side
    16,216.38x = 234,564,245.33
  5. Step 5: Solve for x
    x = 234,564,245.33/16,216.38
  6. Step 6: Final answer
    x = 14,464.65

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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.