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Finding the Fourth Proportional to 18,652.09, 27,948.83 and 13,024.21

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Solution

The fourth proportional to 18,652.09, 27,948.83 and 13,024.21 is: 19,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,652.09 : 27,948.83 = 13,024.21 : x
  2. Step 2: Convert to fraction form
    18,652.09/27,948.83 = 13,024.21/x
  3. Step 3: Cross multiply
    18,652.09x = 27,948.83 × 13,024.21
  4. Step 4: Simplify right side
    18,652.09x = 364,011,400.99
  5. Step 5: Solve for x
    x = 364,011,400.99/18,652.09
  6. Step 6: Final answer
    x = 19,515.85

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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.