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Finding the Fourth Proportional to 19,844.40, 29,745.60 and 7,356.40

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Solution

The fourth proportional to 19,844.40, 29,745.60 and 7,356.40 is: 11,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,844.40 : 29,745.60 = 7,356.40 : x
  2. Step 2: Convert to fraction form
    19,844.40/29,745.60 = 7,356.40/x
  3. Step 3: Cross multiply
    19,844.40x = 29,745.60 × 7,356.40
  4. Step 4: Simplify right side
    19,844.40x = 218,820,531.84
  5. Step 5: Solve for x
    x = 218,820,531.84/19,844.40
  6. Step 6: Final answer
    x = 11,026.82

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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.