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Finding the Fourth Proportional to 19,840.74, 29,761.85 and 7,363.90

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Solution

The fourth proportional to 19,840.74, 29,761.85 and 7,363.90 is: 11,046.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840.74 : 29,761.85 = 7,363.90 : x
  2. Step 2: Convert to fraction form
    19,840.74/29,761.85 = 7,363.90/x
  3. Step 3: Cross multiply
    19,840.74x = 29,761.85 × 7,363.90
  4. Step 4: Simplify right side
    19,840.74x = 219,163,287.22
  5. Step 5: Solve for x
    x = 219,163,287.22/19,840.74
  6. Step 6: Final answer
    x = 11,046.12

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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.