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Finding the Fourth Proportional to 23,814.81, 35,725.86 and 6,286.01

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Solution

The fourth proportional to 23,814.81, 35,725.86 and 6,286.01 is: 9,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814.81 : 35,725.86 = 6,286.01 : x
  2. Step 2: Convert to fraction form
    23,814.81/35,725.86 = 6,286.01/x
  3. Step 3: Cross multiply
    23,814.81x = 35,725.86 × 6,286.01
  4. Step 4: Simplify right side
    23,814.81x = 224,572,934.59
  5. Step 5: Solve for x
    x = 224,572,934.59/23,814.81
  6. Step 6: Final answer
    x = 9,429.97

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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.