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Finding the Fourth Proportional to 16,221.64, 24,326.52 and 7,899.16

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Solution

The fourth proportional to 16,221.64, 24,326.52 and 7,899.16 is: 11,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.64 : 24,326.52 = 7,899.16 : x
  2. Step 2: Convert to fraction form
    16,221.64/24,326.52 = 7,899.16/x
  3. Step 3: Cross multiply
    16,221.64x = 24,326.52 × 7,899.16
  4. Step 4: Simplify right side
    16,221.64x = 192,159,073.72
  5. Step 5: Solve for x
    x = 192,159,073.72/16,221.64
  6. Step 6: Final answer
    x = 11,845.85

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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.