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Finding the Fourth Proportional to 27,809.59, 41,709.96 and 9,089.47

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Solution

The fourth proportional to 27,809.59, 41,709.96 and 9,089.47 is: 13,632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.59 : 41,709.96 = 9,089.47 : x
  2. Step 2: Convert to fraction form
    27,809.59/41,709.96 = 9,089.47/x
  3. Step 3: Cross multiply
    27,809.59x = 41,709.96 × 9,089.47
  4. Step 4: Simplify right side
    27,809.59x = 379,121,430.12
  5. Step 5: Solve for x
    x = 379,121,430.12/27,809.59
  6. Step 6: Final answer
    x = 13,632.76

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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.