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Finding the Fourth Proportional to 14,490.82, 21,721.52 and 8,237.91

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Solution

The fourth proportional to 14,490.82, 21,721.52 and 8,237.91 is: 12,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,490.82 : 21,721.52 = 8,237.91 : x
  2. Step 2: Convert to fraction form
    14,490.82/21,721.52 = 8,237.91/x
  3. Step 3: Cross multiply
    14,490.82x = 21,721.52 × 8,237.91
  4. Step 4: Simplify right side
    14,490.82x = 178,939,947.42
  5. Step 5: Solve for x
    x = 178,939,947.42/14,490.82
  6. Step 6: Final answer
    x = 12,348.51

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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.