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Finding the Fourth Proportional to 14,896.20, 22,356.90 and 6,137.40

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Solution

The fourth proportional to 14,896.20, 22,356.90 and 6,137.40 is: 9,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.20 : 22,356.90 = 6,137.40 : x
  2. Step 2: Convert to fraction form
    14,896.20/22,356.90 = 6,137.40/x
  3. Step 3: Cross multiply
    14,896.20x = 22,356.90 × 6,137.40
  4. Step 4: Simplify right side
    14,896.20x = 137,213,238.06
  5. Step 5: Solve for x
    x = 137,213,238.06/14,896.20
  6. Step 6: Final answer
    x = 9,211.29

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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.