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Finding the Fourth Proportional to 16,677.12, 25,006.44 and 6,823.32

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Solution

The fourth proportional to 16,677.12, 25,006.44 and 6,823.32 is: 10,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,677.12 : 25,006.44 = 6,823.32 : x
  2. Step 2: Convert to fraction form
    16,677.12/25,006.44 = 6,823.32/x
  3. Step 3: Cross multiply
    16,677.12x = 25,006.44 × 6,823.32
  4. Step 4: Simplify right side
    16,677.12x = 170,626,942.18
  5. Step 5: Solve for x
    x = 170,626,942.18/16,677.12
  6. Step 6: Final answer
    x = 10,231.20

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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.