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Finding the Fourth Proportional to 19,498.68, 29,237.51 and 6,169.22

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Solution

The fourth proportional to 19,498.68, 29,237.51 and 6,169.22 is: 9,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498.68 : 29,237.51 = 6,169.22 : x
  2. Step 2: Convert to fraction form
    19,498.68/29,237.51 = 6,169.22/x
  3. Step 3: Cross multiply
    19,498.68x = 29,237.51 × 6,169.22
  4. Step 4: Simplify right side
    19,498.68x = 180,372,631.44
  5. Step 5: Solve for x
    x = 180,372,631.44/19,498.68
  6. Step 6: Final answer
    x = 9,250.50

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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.