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Finding the Fourth Proportional to 20,308.62, 30,444.42 and 7,820.64

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Solution

The fourth proportional to 20,308.62, 30,444.42 and 7,820.64 is: 11,723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,308.62 : 30,444.42 = 7,820.64 : x
  2. Step 2: Convert to fraction form
    20,308.62/30,444.42 = 7,820.64/x
  3. Step 3: Cross multiply
    20,308.62x = 30,444.42 × 7,820.64
  4. Step 4: Simplify right side
    20,308.62x = 238,094,848.83
  5. Step 5: Solve for x
    x = 238,094,848.83/20,308.62
  6. Step 6: Final answer
    x = 11,723.83

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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.