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Finding the Fourth Proportional to 19,708.98, 27,198.16 and 10,756.86

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Solution

The fourth proportional to 19,708.98, 27,198.16 and 10,756.86 is: 14,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.98 : 27,198.16 = 10,756.86 : x
  2. Step 2: Convert to fraction form
    19,708.98/27,198.16 = 10,756.86/x
  3. Step 3: Cross multiply
    19,708.98x = 27,198.16 × 10,756.86
  4. Step 4: Simplify right side
    19,708.98x = 292,566,799.38
  5. Step 5: Solve for x
    x = 292,566,799.38/19,708.98
  6. Step 6: Final answer
    x = 14,844.34

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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.