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Finding the Fourth Proportional to 14,608.49, 21,906.24 and 9,061.61

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Solution

The fourth proportional to 14,608.49, 21,906.24 and 9,061.61 is: 13,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608.49 : 21,906.24 = 9,061.61 : x
  2. Step 2: Convert to fraction form
    14,608.49/21,906.24 = 9,061.61/x
  3. Step 3: Cross multiply
    14,608.49x = 21,906.24 × 9,061.61
  4. Step 4: Simplify right side
    14,608.49x = 198,505,803.45
  5. Step 5: Solve for x
    x = 198,505,803.45/14,608.49
  6. Step 6: Final answer
    x = 13,588.39

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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.