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Finding the Fourth Proportional to 22,020.23, 30,387.91 and 12,589

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Solution

The fourth proportional to 22,020.23, 30,387.91 and 12,589 is: 17,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,020.23 : 30,387.91 = 12,589 : x
  2. Step 2: Convert to fraction form
    22,020.23/30,387.91 = 12,589/x
  3. Step 3: Cross multiply
    22,020.23x = 30,387.91 × 12,589
  4. Step 4: Simplify right side
    22,020.23x = 382,553,398.99
  5. Step 5: Solve for x
    x = 382,553,398.99/22,020.23
  6. Step 6: Final answer
    x = 17,372.82

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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.