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Finding the Fourth Proportional to 21,131.48, 31,696.14 and 6,340.52

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Solution

The fourth proportional to 21,131.48, 31,696.14 and 6,340.52 is: 9,510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,131.48 : 31,696.14 = 6,340.52 : x
  2. Step 2: Convert to fraction form
    21,131.48/31,696.14 = 6,340.52/x
  3. Step 3: Cross multiply
    21,131.48x = 31,696.14 × 6,340.52
  4. Step 4: Simplify right side
    21,131.48x = 200,970,009.59
  5. Step 5: Solve for x
    x = 200,970,009.59/21,131.48
  6. Step 6: Final answer
    x = 9,510.46

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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.