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Finding the Fourth Proportional to 19,882.32, 29,833.20 and 14,076.24

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Solution

The fourth proportional to 19,882.32, 29,833.20 and 14,076.24 is: 21,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.32 : 29,833.20 = 14,076.24 : x
  2. Step 2: Convert to fraction form
    19,882.32/29,833.20 = 14,076.24/x
  3. Step 3: Cross multiply
    19,882.32x = 29,833.20 × 14,076.24
  4. Step 4: Simplify right side
    19,882.32x = 419,939,283.17
  5. Step 5: Solve for x
    x = 419,939,283.17/19,882.32
  6. Step 6: Final answer
    x = 21,121.24

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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.