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Finding the Fourth Proportional to 16,448.16, 24,660.72 and 7,677.84

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Solution

The fourth proportional to 16,448.16, 24,660.72 and 7,677.84 is: 11,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.16 : 24,660.72 = 7,677.84 : x
  2. Step 2: Convert to fraction form
    16,448.16/24,660.72 = 7,677.84/x
  3. Step 3: Cross multiply
    16,448.16x = 24,660.72 × 7,677.84
  4. Step 4: Simplify right side
    16,448.16x = 189,341,062.44
  5. Step 5: Solve for x
    x = 189,341,062.44/16,448.16
  6. Step 6: Final answer
    x = 11,511.38

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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.