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Finding the Fourth Proportional to 19,782.90, 27,301.01 and 10,831.23

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Solution

The fourth proportional to 19,782.90, 27,301.01 and 10,831.23 is: 14,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.90 : 27,301.01 = 10,831.23 : x
  2. Step 2: Convert to fraction form
    19,782.90/27,301.01 = 10,831.23/x
  3. Step 3: Cross multiply
    19,782.90x = 27,301.01 × 10,831.23
  4. Step 4: Simplify right side
    19,782.90x = 295,703,545.62
  5. Step 5: Solve for x
    x = 295,703,545.62/19,782.90
  6. Step 6: Final answer
    x = 14,947.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.