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Finding the Fourth Proportional to 27,686.10, 41,509.02 and 11,041.14

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Solution

The fourth proportional to 27,686.10, 41,509.02 and 11,041.14 is: 16,553.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686.10 : 41,509.02 = 11,041.14 : x
  2. Step 2: Convert to fraction form
    27,686.10/41,509.02 = 11,041.14/x
  3. Step 3: Cross multiply
    27,686.10x = 41,509.02 × 11,041.14
  4. Step 4: Simplify right side
    27,686.10x = 458,306,901.08
  5. Step 5: Solve for x
    x = 458,306,901.08/27,686.10
  6. Step 6: Final answer
    x = 16,553.68

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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.