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Finding the Fourth Proportional to 15,908.76, 23,847.84 and 7,586.52

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Solution

The fourth proportional to 15,908.76, 23,847.84 and 7,586.52 is: 11,372.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,908.76 : 23,847.84 = 7,586.52 : x
  2. Step 2: Convert to fraction form
    15,908.76/23,847.84 = 7,586.52/x
  3. Step 3: Cross multiply
    15,908.76x = 23,847.84 × 7,586.52
  4. Step 4: Simplify right side
    15,908.76x = 180,922,115.12
  5. Step 5: Solve for x
    x = 180,922,115.12/15,908.76
  6. Step 6: Final answer
    x = 11,372.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.