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Finding the Fourth Proportional to 19,745.83, 29,618.07 and 4,954.87

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Solution

The fourth proportional to 19,745.83, 29,618.07 and 4,954.87 is: 7,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,745.83 : 29,618.07 = 4,954.87 : x
  2. Step 2: Convert to fraction form
    19,745.83/29,618.07 = 4,954.87/x
  3. Step 3: Cross multiply
    19,745.83x = 29,618.07 × 4,954.87
  4. Step 4: Simplify right side
    19,745.83x = 146,753,686.50
  5. Step 5: Solve for x
    x = 146,753,686.50/19,745.83
  6. Step 6: Final answer
    x = 7,432.14

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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.