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Finding the Fourth Proportional to 18,199.84, 27,300.12 and 7,670.08

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Solution

The fourth proportional to 18,199.84, 27,300.12 and 7,670.08 is: 11,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,199.84 : 27,300.12 = 7,670.08 : x
  2. Step 2: Convert to fraction form
    18,199.84/27,300.12 = 7,670.08/x
  3. Step 3: Cross multiply
    18,199.84x = 27,300.12 × 7,670.08
  4. Step 4: Simplify right side
    18,199.84x = 209,394,104.41
  5. Step 5: Solve for x
    x = 209,394,104.41/18,199.84
  6. Step 6: Final answer
    x = 11,505.27

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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.