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Finding the Fourth Proportional to 27,580.30, 38,059.74 and 15,645.96

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Solution

The fourth proportional to 27,580.30, 38,059.74 and 15,645.96 is: 21,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.30 : 38,059.74 = 15,645.96 : x
  2. Step 2: Convert to fraction form
    27,580.30/38,059.74 = 15,645.96/x
  3. Step 3: Cross multiply
    27,580.30x = 38,059.74 × 15,645.96
  4. Step 4: Simplify right side
    27,580.30x = 595,481,169.65
  5. Step 5: Solve for x
    x = 595,481,169.65/27,580.30
  6. Step 6: Final answer
    x = 21,590.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.