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Finding the Fourth Proportional to 19,773.52, 27,287.39 and 10,698.86

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Solution

The fourth proportional to 19,773.52, 27,287.39 and 10,698.86 is: 14,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.52 : 27,287.39 = 10,698.86 : x
  2. Step 2: Convert to fraction form
    19,773.52/27,287.39 = 10,698.86/x
  3. Step 3: Cross multiply
    19,773.52x = 27,287.39 × 10,698.86
  4. Step 4: Simplify right side
    19,773.52x = 291,943,930.18
  5. Step 5: Solve for x
    x = 291,943,930.18/19,773.52
  6. Step 6: Final answer
    x = 14,764.39

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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.