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Finding the Fourth Proportional to 14,472.74, 21,681.06 and 8,213.82

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Solution

The fourth proportional to 14,472.74, 21,681.06 and 8,213.82 is: 12,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.74 : 21,681.06 = 8,213.82 : x
  2. Step 2: Convert to fraction form
    14,472.74/21,681.06 = 8,213.82/x
  3. Step 3: Cross multiply
    14,472.74x = 21,681.06 × 8,213.82
  4. Step 4: Simplify right side
    14,472.74x = 178,084,324.25
  5. Step 5: Solve for x
    x = 178,084,324.25/14,472.74
  6. Step 6: Final answer
    x = 12,304.81

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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.