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Finding the Fourth Proportional to 20,838.28, 28,714.24 and 14,857.24

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Solution

The fourth proportional to 20,838.28, 28,714.24 and 14,857.24 is: 20,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.28 : 28,714.24 = 14,857.24 : x
  2. Step 2: Convert to fraction form
    20,838.28/28,714.24 = 14,857.24/x
  3. Step 3: Cross multiply
    20,838.28x = 28,714.24 × 14,857.24
  4. Step 4: Simplify right side
    20,838.28x = 426,614,355.10
  5. Step 5: Solve for x
    x = 426,614,355.10/20,838.28
  6. Step 6: Final answer
    x = 20,472.63

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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.