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Finding the Fourth Proportional to 19,886.49, 29,827.80 and 6,737.31

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Solution

The fourth proportional to 19,886.49, 29,827.80 and 6,737.31 is: 10,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,886.49 : 29,827.80 = 6,737.31 : x
  2. Step 2: Convert to fraction form
    19,886.49/29,827.80 = 6,737.31/x
  3. Step 3: Cross multiply
    19,886.49x = 29,827.80 × 6,737.31
  4. Step 4: Simplify right side
    19,886.49x = 200,959,135.22
  5. Step 5: Solve for x
    x = 200,959,135.22/19,886.49
  6. Step 6: Final answer
    x = 10,105.31

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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.