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Finding the Fourth Proportional to 13,401.16, 18,494.74 and 7,434.75

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Solution

The fourth proportional to 13,401.16, 18,494.74 and 7,434.75 is: 10,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.16 : 18,494.74 = 7,434.75 : x
  2. Step 2: Convert to fraction form
    13,401.16/18,494.74 = 7,434.75/x
  3. Step 3: Cross multiply
    13,401.16x = 18,494.74 × 7,434.75
  4. Step 4: Simplify right side
    13,401.16x = 137,503,749.63
  5. Step 5: Solve for x
    x = 137,503,749.63/13,401.16
  6. Step 6: Final answer
    x = 10,260.59

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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.