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Finding the Fourth Proportional to 19,856.54, 29,782.15 and 5,065.54

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Solution

The fourth proportional to 19,856.54, 29,782.15 and 5,065.54 is: 7,597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.54 : 29,782.15 = 5,065.54 : x
  2. Step 2: Convert to fraction form
    19,856.54/29,782.15 = 5,065.54/x
  3. Step 3: Cross multiply
    19,856.54x = 29,782.15 × 5,065.54
  4. Step 4: Simplify right side
    19,856.54x = 150,862,584.99
  5. Step 5: Solve for x
    x = 150,862,584.99/19,856.54
  6. Step 6: Final answer
    x = 7,597.63

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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.