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Finding the Fourth Proportional to 12,856.80, 19,286.62 and 4,089.67

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Solution

The fourth proportional to 12,856.80, 19,286.62 and 4,089.67 is: 6,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.80 : 19,286.62 = 4,089.67 : x
  2. Step 2: Convert to fraction form
    12,856.80/19,286.62 = 4,089.67/x
  3. Step 3: Cross multiply
    12,856.80x = 19,286.62 × 4,089.67
  4. Step 4: Simplify right side
    12,856.80x = 78,875,852.77
  5. Step 5: Solve for x
    x = 78,875,852.77/12,856.80
  6. Step 6: Final answer
    x = 6,134.95

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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.