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Finding the Fourth Proportional to 18,568.50, 27,853.86 and 7,475.14

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Solution

The fourth proportional to 18,568.50, 27,853.86 and 7,475.14 is: 11,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,568.50 : 27,853.86 = 7,475.14 : x
  2. Step 2: Convert to fraction form
    18,568.50/27,853.86 = 7,475.14/x
  3. Step 3: Cross multiply
    18,568.50x = 27,853.86 × 7,475.14
  4. Step 4: Simplify right side
    18,568.50x = 208,211,503.04
  5. Step 5: Solve for x
    x = 208,211,503.04/18,568.50
  6. Step 6: Final answer
    x = 11,213.16

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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.