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Finding the Fourth Proportional to 18,106.50, 27,162.18 and 7,720.68

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Solution

The fourth proportional to 18,106.50, 27,162.18 and 7,720.68 is: 11,582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,106.50 : 27,162.18 = 7,720.68 : x
  2. Step 2: Convert to fraction form
    18,106.50/27,162.18 = 7,720.68/x
  3. Step 3: Cross multiply
    18,106.50x = 27,162.18 × 7,720.68
  4. Step 4: Simplify right side
    18,106.50x = 209,710,499.88
  5. Step 5: Solve for x
    x = 209,710,499.88/18,106.50
  6. Step 6: Final answer
    x = 11,582.06

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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.