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Finding the Fourth Proportional to 19,235.90, 28,856.82 and 8,142.66

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Solution

The fourth proportional to 19,235.90, 28,856.82 and 8,142.66 is: 12,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,235.90 : 28,856.82 = 8,142.66 : x
  2. Step 2: Convert to fraction form
    19,235.90/28,856.82 = 8,142.66/x
  3. Step 3: Cross multiply
    19,235.90x = 28,856.82 × 8,142.66
  4. Step 4: Simplify right side
    19,235.90x = 234,971,273.94
  5. Step 5: Solve for x
    x = 234,971,273.94/19,235.90
  6. Step 6: Final answer
    x = 12,215.25

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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.