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Finding the Fourth Proportional to 21,077.52, 31,618.38 and 6,283.82

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Solution

The fourth proportional to 21,077.52, 31,618.38 and 6,283.82 is: 9,426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.52 : 31,618.38 = 6,283.82 : x
  2. Step 2: Convert to fraction form
    21,077.52/31,618.38 = 6,283.82/x
  3. Step 3: Cross multiply
    21,077.52x = 31,618.38 × 6,283.82
  4. Step 4: Simplify right side
    21,077.52x = 198,684,208.61
  5. Step 5: Solve for x
    x = 198,684,208.61/21,077.52
  6. Step 6: Final answer
    x = 9,426.36

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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.