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Finding the Fourth Proportional to 20,714.28, 28,585.72 and 11,282.88

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Solution

The fourth proportional to 20,714.28, 28,585.72 and 11,282.88 is: 15,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.28 : 28,585.72 = 11,282.88 : x
  2. Step 2: Convert to fraction form
    20,714.28/28,585.72 = 11,282.88/x
  3. Step 3: Cross multiply
    20,714.28x = 28,585.72 × 11,282.88
  4. Step 4: Simplify right side
    20,714.28x = 322,529,248.47
  5. Step 5: Solve for x
    x = 322,529,248.47/20,714.28
  6. Step 6: Final answer
    x = 15,570.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.