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Finding the Fourth Proportional to 18,005.50, 27,008.16 and 4,859.20

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Solution

The fourth proportional to 18,005.50, 27,008.16 and 4,859.20 is: 7,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,005.50 : 27,008.16 = 4,859.20 : x
  2. Step 2: Convert to fraction form
    18,005.50/27,008.16 = 4,859.20/x
  3. Step 3: Cross multiply
    18,005.50x = 27,008.16 × 4,859.20
  4. Step 4: Simplify right side
    18,005.50x = 131,238,051.07
  5. Step 5: Solve for x
    x = 131,238,051.07/18,005.50
  6. Step 6: Final answer
    x = 7,288.78

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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.