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Finding the Fourth Proportional to 21,275.69, 31,904.31 and 7,231.95

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Solution

The fourth proportional to 21,275.69, 31,904.31 and 7,231.95 is: 10,844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,275.69 : 31,904.31 = 7,231.95 : x
  2. Step 2: Convert to fraction form
    21,275.69/31,904.31 = 7,231.95/x
  3. Step 3: Cross multiply
    21,275.69x = 31,904.31 × 7,231.95
  4. Step 4: Simplify right side
    21,275.69x = 230,730,206.21
  5. Step 5: Solve for x
    x = 230,730,206.21/21,275.69
  6. Step 6: Final answer
    x = 10,844.78

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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.