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Finding the Fourth Proportional to 19,228.29, 28,838.78 and 8,142.76

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Solution

The fourth proportional to 19,228.29, 28,838.78 and 8,142.76 is: 12,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,228.29 : 28,838.78 = 8,142.76 : x
  2. Step 2: Convert to fraction form
    19,228.29/28,838.78 = 8,142.76/x
  3. Step 3: Cross multiply
    19,228.29x = 28,838.78 × 8,142.76
  4. Step 4: Simplify right side
    19,228.29x = 234,827,335.91
  5. Step 5: Solve for x
    x = 234,827,335.91/19,228.29
  6. Step 6: Final answer
    x = 12,212.60

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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.