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Finding the Fourth Proportional to 22,584.54, 31,166.06 and 13,024.20

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Solution

The fourth proportional to 22,584.54, 31,166.06 and 13,024.20 is: 17,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.54 : 31,166.06 = 13,024.20 : x
  2. Step 2: Convert to fraction form
    22,584.54/31,166.06 = 13,024.20/x
  3. Step 3: Cross multiply
    22,584.54x = 31,166.06 × 13,024.20
  4. Step 4: Simplify right side
    22,584.54x = 405,912,998.65
  5. Step 5: Solve for x
    x = 405,912,998.65/22,584.54
  6. Step 6: Final answer
    x = 17,973.05

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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.