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Finding the Fourth Proportional to 19,589.83, 27,034.02 and 10,637.38

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Solution

The fourth proportional to 19,589.83, 27,034.02 and 10,637.38 is: 14,679.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.83 : 27,034.02 = 10,637.38 : x
  2. Step 2: Convert to fraction form
    19,589.83/27,034.02 = 10,637.38/x
  3. Step 3: Cross multiply
    19,589.83x = 27,034.02 × 10,637.38
  4. Step 4: Simplify right side
    19,589.83x = 287,571,143.67
  5. Step 5: Solve for x
    x = 287,571,143.67/19,589.83
  6. Step 6: Final answer
    x = 14,679.61

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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.