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Finding the Fourth Proportional to 19,883.84, 29,831.20 and 6,737.24

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Solution

The fourth proportional to 19,883.84, 29,831.20 and 6,737.24 is: 10,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.84 : 29,831.20 = 6,737.24 : x
  2. Step 2: Convert to fraction form
    19,883.84/29,831.20 = 6,737.24/x
  3. Step 3: Cross multiply
    19,883.84x = 29,831.20 × 6,737.24
  4. Step 4: Simplify right side
    19,883.84x = 200,979,953.89
  5. Step 5: Solve for x
    x = 200,979,953.89/19,883.84
  6. Step 6: Final answer
    x = 10,107.70

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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.