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Finding the Fourth Proportional to 27,806.16, 41,708.89 and 11,165.89

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Solution

The fourth proportional to 27,806.16, 41,708.89 and 11,165.89 is: 16,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.16 : 41,708.89 = 11,165.89 : x
  2. Step 2: Convert to fraction form
    27,806.16/41,708.89 = 11,165.89/x
  3. Step 3: Cross multiply
    27,806.16x = 41,708.89 × 11,165.89
  4. Step 4: Simplify right side
    27,806.16x = 465,716,877.76
  5. Step 5: Solve for x
    x = 465,716,877.76/27,806.16
  6. Step 6: Final answer
    x = 16,748.69

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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.