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Finding the Fourth Proportional to 21,001.41, 31,505.31 and 7,147.17

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Solution

The fourth proportional to 21,001.41, 31,505.31 and 7,147.17 is: 10,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,001.41 : 31,505.31 = 7,147.17 : x
  2. Step 2: Convert to fraction form
    21,001.41/31,505.31 = 7,147.17/x
  3. Step 3: Cross multiply
    21,001.41x = 31,505.31 × 7,147.17
  4. Step 4: Simplify right side
    21,001.41x = 225,173,806.47
  5. Step 5: Solve for x
    x = 225,173,806.47/21,001.41
  6. Step 6: Final answer
    x = 10,721.84

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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.