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Finding the Fourth Proportional to 20,064.42, 30,097.71 and 8,365.86

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Solution

The fourth proportional to 20,064.42, 30,097.71 and 8,365.86 is: 12,549.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,064.42 : 30,097.71 = 8,365.86 : x
  2. Step 2: Convert to fraction form
    20,064.42/30,097.71 = 8,365.86/x
  3. Step 3: Cross multiply
    20,064.42x = 30,097.71 × 8,365.86
  4. Step 4: Simplify right side
    20,064.42x = 251,793,228.18
  5. Step 5: Solve for x
    x = 251,793,228.18/20,064.42
  6. Step 6: Final answer
    x = 12,549.24

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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.