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Finding the Fourth Proportional to 15,856.30, 23,786.07 and 5,465.62

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Solution

The fourth proportional to 15,856.30, 23,786.07 and 5,465.62 is: 8,198.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.30 : 23,786.07 = 5,465.62 : x
  2. Step 2: Convert to fraction form
    15,856.30/23,786.07 = 5,465.62/x
  3. Step 3: Cross multiply
    15,856.30x = 23,786.07 × 5,465.62
  4. Step 4: Simplify right side
    15,856.30x = 130,005,619.91
  5. Step 5: Solve for x
    x = 130,005,619.91/15,856.30
  6. Step 6: Final answer
    x = 8,198.99

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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.