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Finding the Fourth Proportional to 19,862.30, 29,793.07 and 8,015.76

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Solution

The fourth proportional to 19,862.30, 29,793.07 and 8,015.76 is: 12,023.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862.30 : 29,793.07 = 8,015.76 : x
  2. Step 2: Convert to fraction form
    19,862.30/29,793.07 = 8,015.76/x
  3. Step 3: Cross multiply
    19,862.30x = 29,793.07 × 8,015.76
  4. Step 4: Simplify right side
    19,862.30x = 238,814,078.74
  5. Step 5: Solve for x
    x = 238,814,078.74/19,862.30
  6. Step 6: Final answer
    x = 12,023.48

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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.