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Finding the Fourth Proportional to 19,442.12, 29,119.41 and 13,624.70

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Solution

The fourth proportional to 19,442.12, 29,119.41 and 13,624.70 is: 20,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,442.12 : 29,119.41 = 13,624.70 : x
  2. Step 2: Convert to fraction form
    19,442.12/29,119.41 = 13,624.70/x
  3. Step 3: Cross multiply
    19,442.12x = 29,119.41 × 13,624.70
  4. Step 4: Simplify right side
    19,442.12x = 396,743,079.83
  5. Step 5: Solve for x
    x = 396,743,079.83/19,442.12
  6. Step 6: Final answer
    x = 20,406.37

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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.