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Finding the Fourth Proportional to 19,781.06, 29,683.28 and 7,309.90

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Solution

The fourth proportional to 19,781.06, 29,683.28 and 7,309.90 is: 10,969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.06 : 29,683.28 = 7,309.90 : x
  2. Step 2: Convert to fraction form
    19,781.06/29,683.28 = 7,309.90/x
  3. Step 3: Cross multiply
    19,781.06x = 29,683.28 × 7,309.90
  4. Step 4: Simplify right side
    19,781.06x = 216,981,808.47
  5. Step 5: Solve for x
    x = 216,981,808.47/19,781.06
  6. Step 6: Final answer
    x = 10,969.17

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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.