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Finding the Fourth Proportional to 19,826.30, 29,722.77 and 9,290.76

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Solution

The fourth proportional to 19,826.30, 29,722.77 and 9,290.76 is: 13,928.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.30 : 29,722.77 = 9,290.76 : x
  2. Step 2: Convert to fraction form
    19,826.30/29,722.77 = 9,290.76/x
  3. Step 3: Cross multiply
    19,826.30x = 29,722.77 × 9,290.76
  4. Step 4: Simplify right side
    19,826.30x = 276,147,122.61
  5. Step 5: Solve for x
    x = 276,147,122.61/19,826.30
  6. Step 6: Final answer
    x = 13,928.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.