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Finding the Fourth Proportional to 22,539.30, 31,093.76 and 14,584.09

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Solution

The fourth proportional to 22,539.30, 31,093.76 and 14,584.09 is: 20,119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,539.30 : 31,093.76 = 14,584.09 : x
  2. Step 2: Convert to fraction form
    22,539.30/31,093.76 = 14,584.09/x
  3. Step 3: Cross multiply
    22,539.30x = 31,093.76 × 14,584.09
  4. Step 4: Simplify right side
    22,539.30x = 453,474,153.00
  5. Step 5: Solve for x
    x = 453,474,153.00/22,539.30
  6. Step 6: Final answer
    x = 20,119.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.