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Finding the Fourth Proportional to 20,344.86, 30,574.62 and 12,028.77

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Solution

The fourth proportional to 20,344.86, 30,574.62 and 12,028.77 is: 18,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,344.86 : 30,574.62 = 12,028.77 : x
  2. Step 2: Convert to fraction form
    20,344.86/30,574.62 = 12,028.77/x
  3. Step 3: Cross multiply
    20,344.86x = 30,574.62 × 12,028.77
  4. Step 4: Simplify right side
    20,344.86x = 367,775,071.82
  5. Step 5: Solve for x
    x = 367,775,071.82/20,344.86
  6. Step 6: Final answer
    x = 18,077.05

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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.