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Finding the Fourth Proportional to 20,026.59, 30,023.69 and 12,232.77

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Solution

The fourth proportional to 20,026.59, 30,023.69 and 12,232.77 is: 18,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,026.59 : 30,023.69 = 12,232.77 : x
  2. Step 2: Convert to fraction form
    20,026.59/30,023.69 = 12,232.77/x
  3. Step 3: Cross multiply
    20,026.59x = 30,023.69 × 12,232.77
  4. Step 4: Simplify right side
    20,026.59x = 367,272,833.16
  5. Step 5: Solve for x
    x = 367,272,833.16/20,026.59
  6. Step 6: Final answer
    x = 18,339.26

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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.