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Finding the Fourth Proportional to 22,019.83, 30,389.12 and 12,589

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Solution

The fourth proportional to 22,019.83, 30,389.12 and 12,589 is: 17,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,019.83 : 30,389.12 = 12,589 : x
  2. Step 2: Convert to fraction form
    22,019.83/30,389.12 = 12,589/x
  3. Step 3: Cross multiply
    22,019.83x = 30,389.12 × 12,589
  4. Step 4: Simplify right side
    22,019.83x = 382,568,631.68
  5. Step 5: Solve for x
    x = 382,568,631.68/22,019.83
  6. Step 6: Final answer
    x = 17,373.82

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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.