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Finding the Fourth Proportional to 23,138.20, 34,649.70 and 18,530.20

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Solution

The fourth proportional to 23,138.20, 34,649.70 and 18,530.20 is: 27,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,138.20 : 34,649.70 = 18,530.20 : x
  2. Step 2: Convert to fraction form
    23,138.20/34,649.70 = 18,530.20/x
  3. Step 3: Cross multiply
    23,138.20x = 34,649.70 × 18,530.20
  4. Step 4: Simplify right side
    23,138.20x = 642,065,870.94
  5. Step 5: Solve for x
    x = 642,065,870.94/23,138.20
  6. Step 6: Final answer
    x = 27,749.17

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