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Finding the Fourth Proportional to 18,580.85, 27,872.18 and 7,486.02

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Solution

The fourth proportional to 18,580.85, 27,872.18 and 7,486.02 is: 11,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,580.85 : 27,872.18 = 7,486.02 : x
  2. Step 2: Convert to fraction form
    18,580.85/27,872.18 = 7,486.02/x
  3. Step 3: Cross multiply
    18,580.85x = 27,872.18 × 7,486.02
  4. Step 4: Simplify right side
    18,580.85x = 208,651,659.49
  5. Step 5: Solve for x
    x = 208,651,659.49/18,580.85
  6. Step 6: Final answer
    x = 11,229.40

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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.