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Finding the Fourth Proportional to 14,311.69, 21,463.66 and 5,990

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Solution

The fourth proportional to 14,311.69, 21,463.66 and 5,990 is: 8,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.69 : 21,463.66 = 5,990 : x
  2. Step 2: Convert to fraction form
    14,311.69/21,463.66 = 5,990/x
  3. Step 3: Cross multiply
    14,311.69x = 21,463.66 × 5,990
  4. Step 4: Simplify right side
    14,311.69x = 128,567,323.40
  5. Step 5: Solve for x
    x = 128,567,323.40/14,311.69
  6. Step 6: Final answer
    x = 8,983.38

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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.