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Finding the Fourth Proportional to 13,187.86, 18,199.75 and 7,523.53

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Solution

The fourth proportional to 13,187.86, 18,199.75 and 7,523.53 is: 10,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.86 : 18,199.75 = 7,523.53 : x
  2. Step 2: Convert to fraction form
    13,187.86/18,199.75 = 7,523.53/x
  3. Step 3: Cross multiply
    13,187.86x = 18,199.75 × 7,523.53
  4. Step 4: Simplify right side
    13,187.86x = 136,926,274.12
  5. Step 5: Solve for x
    x = 136,926,274.12/13,187.86
  6. Step 6: Final answer
    x = 10,382.76

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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.