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Finding the Fourth Proportional to 14,912.32, 22,352.07 and 6,142.45

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Solution

The fourth proportional to 14,912.32, 22,352.07 and 6,142.45 is: 9,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.32 : 22,352.07 = 6,142.45 : x
  2. Step 2: Convert to fraction form
    14,912.32/22,352.07 = 6,142.45/x
  3. Step 3: Cross multiply
    14,912.32x = 22,352.07 × 6,142.45
  4. Step 4: Simplify right side
    14,912.32x = 137,296,431.85
  5. Step 5: Solve for x
    x = 137,296,431.85/14,912.32
  6. Step 6: Final answer
    x = 9,206.91

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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.