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Finding the Fourth Proportional to 16,568.16, 24,856.56 and 6,180

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Solution

The fourth proportional to 16,568.16, 24,856.56 and 6,180 is: 9,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,568.16 : 24,856.56 = 6,180 : x
  2. Step 2: Convert to fraction form
    16,568.16/24,856.56 = 6,180/x
  3. Step 3: Cross multiply
    16,568.16x = 24,856.56 × 6,180
  4. Step 4: Simplify right side
    16,568.16x = 153,613,540.80
  5. Step 5: Solve for x
    x = 153,613,540.80/16,568.16
  6. Step 6: Final answer
    x = 9,271.61

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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.