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Finding the Fourth Proportional to 18,554, 27,832.62 and 4,703

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Solution

The fourth proportional to 18,554, 27,832.62 and 4,703 is: 7,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,554 : 27,832.62 = 4,703 : x
  2. Step 2: Convert to fraction form
    18,554/27,832.62 = 4,703/x
  3. Step 3: Cross multiply
    18,554x = 27,832.62 × 4,703
  4. Step 4: Simplify right side
    18,554x = 130,896,811.86
  5. Step 5: Solve for x
    x = 130,896,811.86/18,554
  6. Step 6: Final answer
    x = 7,054.91

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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.