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Finding the Fourth Proportional to 20,565.12, 30,847.80 and 7,419.60

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Solution

The fourth proportional to 20,565.12, 30,847.80 and 7,419.60 is: 11,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.12 : 30,847.80 = 7,419.60 : x
  2. Step 2: Convert to fraction form
    20,565.12/30,847.80 = 7,419.60/x
  3. Step 3: Cross multiply
    20,565.12x = 30,847.80 × 7,419.60
  4. Step 4: Simplify right side
    20,565.12x = 228,878,336.88
  5. Step 5: Solve for x
    x = 228,878,336.88/20,565.12
  6. Step 6: Final answer
    x = 11,129.44

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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.