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Finding the Fourth Proportional to 19,235.91, 28,856.89 and 8,142.66

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Solution

The fourth proportional to 19,235.91, 28,856.89 and 8,142.66 is: 12,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,235.91 : 28,856.89 = 8,142.66 : x
  2. Step 2: Convert to fraction form
    19,235.91/28,856.89 = 8,142.66/x
  3. Step 3: Cross multiply
    19,235.91x = 28,856.89 × 8,142.66
  4. Step 4: Simplify right side
    19,235.91x = 234,971,854.11
  5. Step 5: Solve for x
    x = 234,971,854.11/19,235.91
  6. Step 6: Final answer
    x = 12,215.27

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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.