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Finding the Fourth Proportional to 21,161.76, 31,751.28 and 7,320.48

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Solution

The fourth proportional to 21,161.76, 31,751.28 and 7,320.48 is: 10,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161.76 : 31,751.28 = 7,320.48 : x
  2. Step 2: Convert to fraction form
    21,161.76/31,751.28 = 7,320.48/x
  3. Step 3: Cross multiply
    21,161.76x = 31,751.28 × 7,320.48
  4. Step 4: Simplify right side
    21,161.76x = 232,434,610.21
  5. Step 5: Solve for x
    x = 232,434,610.21/21,161.76
  6. Step 6: Final answer
    x = 10,983.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.