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Finding the Fourth Proportional to 13,186.88, 18,199.56 and 7,523.62

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Solution

The fourth proportional to 13,186.88, 18,199.56 and 7,523.62 is: 10,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.88 : 18,199.56 = 7,523.62 : x
  2. Step 2: Convert to fraction form
    13,186.88/18,199.56 = 7,523.62/x
  3. Step 3: Cross multiply
    13,186.88x = 18,199.56 × 7,523.62
  4. Step 4: Simplify right side
    13,186.88x = 136,926,573.61
  5. Step 5: Solve for x
    x = 136,926,573.61/13,186.88
  6. Step 6: Final answer
    x = 10,383.55

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