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Finding the Fourth Proportional to 22,387.87, 33,589.10 and 10,702

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Solution

The fourth proportional to 22,387.87, 33,589.10 and 10,702 is: 16,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,387.87 : 33,589.10 = 10,702 : x
  2. Step 2: Convert to fraction form
    22,387.87/33,589.10 = 10,702/x
  3. Step 3: Cross multiply
    22,387.87x = 33,589.10 × 10,702
  4. Step 4: Simplify right side
    22,387.87x = 359,470,548.20
  5. Step 5: Solve for x
    x = 359,470,548.20/22,387.87
  6. Step 6: Final answer
    x = 16,056.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.