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Finding the Fourth Proportional to 13,415.40, 18,514.36 and 7,447.68

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Solution

The fourth proportional to 13,415.40, 18,514.36 and 7,447.68 is: 10,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.40 : 18,514.36 = 7,447.68 : x
  2. Step 2: Convert to fraction form
    13,415.40/18,514.36 = 7,447.68/x
  3. Step 3: Cross multiply
    13,415.40x = 18,514.36 × 7,447.68
  4. Step 4: Simplify right side
    13,415.40x = 137,889,028.68
  5. Step 5: Solve for x
    x = 137,889,028.68/13,415.40
  6. Step 6: Final answer
    x = 10,278.41

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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.