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Finding the Fourth Proportional to 12,415.38, 18,589.77 and 10,447.08

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Solution

The fourth proportional to 12,415.38, 18,589.77 and 10,447.08 is: 15,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.38 : 18,589.77 = 10,447.08 : x
  2. Step 2: Convert to fraction form
    12,415.38/18,589.77 = 10,447.08/x
  3. Step 3: Cross multiply
    12,415.38x = 18,589.77 × 10,447.08
  4. Step 4: Simplify right side
    12,415.38x = 194,208,814.37
  5. Step 5: Solve for x
    x = 194,208,814.37/12,415.38
  6. Step 6: Final answer
    x = 15,642.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.