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Finding the Fourth Proportional to 14,283.50, 21,422.01 and 5,963.68

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Solution

The fourth proportional to 14,283.50, 21,422.01 and 5,963.68 is: 8,944.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.50 : 21,422.01 = 5,963.68 : x
  2. Step 2: Convert to fraction form
    14,283.50/21,422.01 = 5,963.68/x
  3. Step 3: Cross multiply
    14,283.50x = 21,422.01 × 5,963.68
  4. Step 4: Simplify right side
    14,283.50x = 127,753,899.31
  5. Step 5: Solve for x
    x = 127,753,899.31/14,283.50
  6. Step 6: Final answer
    x = 8,944.16

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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.