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Finding the Fourth Proportional to 19,074.83, 28,601.00 and 7,826.81

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Solution

The fourth proportional to 19,074.83, 28,601.00 and 7,826.81 is: 11,735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,074.83 : 28,601.00 = 7,826.81 : x
  2. Step 2: Convert to fraction form
    19,074.83/28,601.00 = 7,826.81/x
  3. Step 3: Cross multiply
    19,074.83x = 28,601.00 × 7,826.81
  4. Step 4: Simplify right side
    19,074.83x = 223,854,600.90
  5. Step 5: Solve for x
    x = 223,854,600.90/19,074.83
  6. Step 6: Final answer
    x = 11,735.60

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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.