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Finding the Fourth Proportional to 12,856.61, 19,286.30 and 4,089.48

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Solution

The fourth proportional to 12,856.61, 19,286.30 and 4,089.48 is: 6,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.61 : 19,286.30 = 4,089.48 : x
  2. Step 2: Convert to fraction form
    12,856.61/19,286.30 = 4,089.48/x
  3. Step 3: Cross multiply
    12,856.61x = 19,286.30 × 4,089.48
  4. Step 4: Simplify right side
    12,856.61x = 78,870,876.02
  5. Step 5: Solve for x
    x = 78,870,876.02/12,856.61
  6. Step 6: Final answer
    x = 6,134.65

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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.