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Finding the Fourth Proportional to 14,542.52, 21,797.44 and 6,218.32

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Solution

The fourth proportional to 14,542.52, 21,797.44 and 6,218.32 is: 9,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.52 : 21,797.44 = 6,218.32 : x
  2. Step 2: Convert to fraction form
    14,542.52/21,797.44 = 6,218.32/x
  3. Step 3: Cross multiply
    14,542.52x = 21,797.44 × 6,218.32
  4. Step 4: Simplify right side
    14,542.52x = 135,543,457.10
  5. Step 5: Solve for x
    x = 135,543,457.10/14,542.52
  6. Step 6: Final answer
    x = 9,320.49

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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.