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Finding the Fourth Proportional to 14,489.33, 21,731.42 and 6,589.99

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Solution

The fourth proportional to 14,489.33, 21,731.42 and 6,589.99 is: 9,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.33 : 21,731.42 = 6,589.99 : x
  2. Step 2: Convert to fraction form
    14,489.33/21,731.42 = 6,589.99/x
  3. Step 3: Cross multiply
    14,489.33x = 21,731.42 × 6,589.99
  4. Step 4: Simplify right side
    14,489.33x = 143,209,807.54
  5. Step 5: Solve for x
    x = 143,209,807.54/14,489.33
  6. Step 6: Final answer
    x = 9,883.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.