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Finding the Fourth Proportional to 19,831.32, 29,737.75 and 7,350.84

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Solution

The fourth proportional to 19,831.32, 29,737.75 and 7,350.84 is: 11,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831.32 : 29,737.75 = 7,350.84 : x
  2. Step 2: Convert to fraction form
    19,831.32/29,737.75 = 7,350.84/x
  3. Step 3: Cross multiply
    19,831.32x = 29,737.75 × 7,350.84
  4. Step 4: Simplify right side
    19,831.32x = 218,597,442.21
  5. Step 5: Solve for x
    x = 218,597,442.21/19,831.32
  6. Step 6: Final answer
    x = 11,022.84

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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.