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Finding the Fourth Proportional to 14,541.89, 21,814.03 and 6,221.99

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Solution

The fourth proportional to 14,541.89, 21,814.03 and 6,221.99 is: 9,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,541.89 : 21,814.03 = 6,221.99 : x
  2. Step 2: Convert to fraction form
    14,541.89/21,814.03 = 6,221.99/x
  3. Step 3: Cross multiply
    14,541.89x = 21,814.03 × 6,221.99
  4. Step 4: Simplify right side
    14,541.89x = 135,726,642.48
  5. Step 5: Solve for x
    x = 135,726,642.48/14,541.89
  6. Step 6: Final answer
    x = 9,333.50

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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.