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Finding the Fourth Proportional to 16,510.32, 24,775.20 and 7,745.31

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Solution

The fourth proportional to 16,510.32, 24,775.20 and 7,745.31 is: 11,622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.32 : 24,775.20 = 7,745.31 : x
  2. Step 2: Convert to fraction form
    16,510.32/24,775.20 = 7,745.31/x
  3. Step 3: Cross multiply
    16,510.32x = 24,775.20 × 7,745.31
  4. Step 4: Simplify right side
    16,510.32x = 191,891,604.31
  5. Step 5: Solve for x
    x = 191,891,604.31/16,510.32
  6. Step 6: Final answer
    x = 11,622.52

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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.