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Finding the Fourth Proportional to 14,737.80, 20,338.37 and 8,023.63

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Solution

The fourth proportional to 14,737.80, 20,338.37 and 8,023.63 is: 11,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,737.80 : 20,338.37 = 8,023.63 : x
  2. Step 2: Convert to fraction form
    14,737.80/20,338.37 = 8,023.63/x
  3. Step 3: Cross multiply
    14,737.80x = 20,338.37 × 8,023.63
  4. Step 4: Simplify right side
    14,737.80x = 163,187,555.68
  5. Step 5: Solve for x
    x = 163,187,555.68/14,737.80
  6. Step 6: Final answer
    x = 11,072.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.