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Finding the Fourth Proportional to 20,342.95, 30,443.65 and 12,442.01

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Solution

The fourth proportional to 20,342.95, 30,443.65 and 12,442.01 is: 18,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342.95 : 30,443.65 = 12,442.01 : x
  2. Step 2: Convert to fraction form
    20,342.95/30,443.65 = 12,442.01/x
  3. Step 3: Cross multiply
    20,342.95x = 30,443.65 × 12,442.01
  4. Step 4: Simplify right side
    20,342.95x = 378,780,014.41
  5. Step 5: Solve for x
    x = 378,780,014.41/20,342.95
  6. Step 6: Final answer
    x = 18,619.72

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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.