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Finding the Fourth Proportional to 14,047.25, 21,072.09 and 3,659

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Solution

The fourth proportional to 14,047.25, 21,072.09 and 3,659 is: 5,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,047.25 : 21,072.09 = 3,659 : x
  2. Step 2: Convert to fraction form
    14,047.25/21,072.09 = 3,659/x
  3. Step 3: Cross multiply
    14,047.25x = 21,072.09 × 3,659
  4. Step 4: Simplify right side
    14,047.25x = 77,102,777.31
  5. Step 5: Solve for x
    x = 77,102,777.31/14,047.25
  6. Step 6: Final answer
    x = 5,488.82

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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.