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Finding the Fourth Proportional to 27,900.65, 41,853.25 and 13,101.50

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Solution

The fourth proportional to 27,900.65, 41,853.25 and 13,101.50 is: 19,653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,900.65 : 41,853.25 = 13,101.50 : x
  2. Step 2: Convert to fraction form
    27,900.65/41,853.25 = 13,101.50/x
  3. Step 3: Cross multiply
    27,900.65x = 41,853.25 × 13,101.50
  4. Step 4: Simplify right side
    27,900.65x = 548,340,354.88
  5. Step 5: Solve for x
    x = 548,340,354.88/27,900.65
  6. Step 6: Final answer
    x = 19,653.32

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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.