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Finding the Fourth Proportional to 19,510.57, 29,240.33 and 7,831.99

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Solution

The fourth proportional to 19,510.57, 29,240.33 and 7,831.99 is: 11,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,510.57 : 29,240.33 = 7,831.99 : x
  2. Step 2: Convert to fraction form
    19,510.57/29,240.33 = 7,831.99/x
  3. Step 3: Cross multiply
    19,510.57x = 29,240.33 × 7,831.99
  4. Step 4: Simplify right side
    19,510.57x = 229,009,825.96
  5. Step 5: Solve for x
    x = 229,009,825.96/19,510.57
  6. Step 6: Final answer
    x = 11,737.73

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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.