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Finding the Fourth Proportional to 20,993.13, 31,392.45 and 16,259.49

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Solution

The fourth proportional to 20,993.13, 31,392.45 and 16,259.49 is: 24,313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.13 : 31,392.45 = 16,259.49 : x
  2. Step 2: Convert to fraction form
    20,993.13/31,392.45 = 16,259.49/x
  3. Step 3: Cross multiply
    20,993.13x = 31,392.45 × 16,259.49
  4. Step 4: Simplify right side
    20,993.13x = 510,425,226.85
  5. Step 5: Solve for x
    x = 510,425,226.85/20,993.13
  6. Step 6: Final answer
    x = 24,313.92

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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.