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Finding the Fourth Proportional to 20,914.94, 31,353.15 and 9,061.26

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Solution

The fourth proportional to 20,914.94, 31,353.15 and 9,061.26 is: 13,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,914.94 : 31,353.15 = 9,061.26 : x
  2. Step 2: Convert to fraction form
    20,914.94/31,353.15 = 9,061.26/x
  3. Step 3: Cross multiply
    20,914.94x = 31,353.15 × 9,061.26
  4. Step 4: Simplify right side
    20,914.94x = 284,099,043.97
  5. Step 5: Solve for x
    x = 284,099,043.97/20,914.94
  6. Step 6: Final answer
    x = 13,583.55

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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.