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Finding the Fourth Proportional to 27,209.51, 40,806.51 and 10,565.99

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Solution

The fourth proportional to 27,209.51, 40,806.51 and 10,565.99 is: 15,845.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,209.51 : 40,806.51 = 10,565.99 : x
  2. Step 2: Convert to fraction form
    27,209.51/40,806.51 = 10,565.99/x
  3. Step 3: Cross multiply
    27,209.51x = 40,806.51 × 10,565.99
  4. Step 4: Simplify right side
    27,209.51x = 431,160,972.56
  5. Step 5: Solve for x
    x = 431,160,972.56/27,209.51
  6. Step 6: Final answer
    x = 15,845.97

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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.