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Finding the Fourth Proportional to 19,772.69, 27,285.17 and 10,820.37

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Solution

The fourth proportional to 19,772.69, 27,285.17 and 10,820.37 is: 14,931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.69 : 27,285.17 = 10,820.37 : x
  2. Step 2: Convert to fraction form
    19,772.69/27,285.17 = 10,820.37/x
  3. Step 3: Cross multiply
    19,772.69x = 27,285.17 × 10,820.37
  4. Step 4: Simplify right side
    19,772.69x = 295,235,444.39
  5. Step 5: Solve for x
    x = 295,235,444.39/19,772.69
  6. Step 6: Final answer
    x = 14,931.48

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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.