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Finding the Fourth Proportional to 21,387.36, 32,078.55 and 8,230.53

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Solution

The fourth proportional to 21,387.36, 32,078.55 and 8,230.53 is: 12,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,387.36 : 32,078.55 = 8,230.53 : x
  2. Step 2: Convert to fraction form
    21,387.36/32,078.55 = 8,230.53/x
  3. Step 3: Cross multiply
    21,387.36x = 32,078.55 × 8,230.53
  4. Step 4: Simplify right side
    21,387.36x = 264,023,468.13
  5. Step 5: Solve for x
    x = 264,023,468.13/21,387.36
  6. Step 6: Final answer
    x = 12,344.84

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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.