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Finding the Fourth Proportional to 13,187.42, 18,199.14 and 7,523.09

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Solution

The fourth proportional to 13,187.42, 18,199.14 and 7,523.09 is: 10,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.42 : 18,199.14 = 7,523.09 : x
  2. Step 2: Convert to fraction form
    13,187.42/18,199.14 = 7,523.09/x
  3. Step 3: Cross multiply
    13,187.42x = 18,199.14 × 7,523.09
  4. Step 4: Simplify right side
    13,187.42x = 136,913,768.14
  5. Step 5: Solve for x
    x = 136,913,768.14/13,187.42
  6. Step 6: Final answer
    x = 10,382.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.