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Finding the Fourth Proportional to 19,927.81, 29,893.74 and 6,781.11

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Solution

The fourth proportional to 19,927.81, 29,893.74 and 6,781.11 is: 10,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,927.81 : 29,893.74 = 6,781.11 : x
  2. Step 2: Convert to fraction form
    19,927.81/29,893.74 = 6,781.11/x
  3. Step 3: Cross multiply
    19,927.81x = 29,893.74 × 6,781.11
  4. Step 4: Simplify right side
    19,927.81x = 202,712,739.25
  5. Step 5: Solve for x
    x = 202,712,739.25/19,927.81
  6. Step 6: Final answer
    x = 10,172.35

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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.