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Finding the Fourth Proportional to 20,252.76, 30,328.92 and 14,019

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Solution

The fourth proportional to 20,252.76, 30,328.92 and 14,019 is: 20,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,252.76 : 30,328.92 = 14,019 : x
  2. Step 2: Convert to fraction form
    20,252.76/30,328.92 = 14,019/x
  3. Step 3: Cross multiply
    20,252.76x = 30,328.92 × 14,019
  4. Step 4: Simplify right side
    20,252.76x = 425,181,129.48
  5. Step 5: Solve for x
    x = 425,181,129.48/20,252.76
  6. Step 6: Final answer
    x = 20,993.74

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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.