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Finding the Fourth Proportional to 14,906.32, 22,362.18 and 6,136.45

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Solution

The fourth proportional to 14,906.32, 22,362.18 and 6,136.45 is: 9,205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.32 : 22,362.18 = 6,136.45 : x
  2. Step 2: Convert to fraction form
    14,906.32/22,362.18 = 6,136.45/x
  3. Step 3: Cross multiply
    14,906.32x = 22,362.18 × 6,136.45
  4. Step 4: Simplify right side
    14,906.32x = 137,224,399.46
  5. Step 5: Solve for x
    x = 137,224,399.46/14,906.32
  6. Step 6: Final answer
    x = 9,205.79

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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.