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Finding the Fourth Proportional to 20,565.88, 30,848.81 and 6,714.88

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Solution

The fourth proportional to 20,565.88, 30,848.81 and 6,714.88 is: 10,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.88 : 30,848.81 = 6,714.88 : x
  2. Step 2: Convert to fraction form
    20,565.88/30,848.81 = 6,714.88/x
  3. Step 3: Cross multiply
    20,565.88x = 30,848.81 × 6,714.88
  4. Step 4: Simplify right side
    20,565.88x = 207,146,057.29
  5. Step 5: Solve for x
    x = 207,146,057.29/20,565.88
  6. Step 6: Final answer
    x = 10,072.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.