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Finding the Fourth Proportional to 13,381.21, 18,466.04 and 7,412.87

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Solution

The fourth proportional to 13,381.21, 18,466.04 and 7,412.87 is: 10,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.21 : 18,466.04 = 7,412.87 : x
  2. Step 2: Convert to fraction form
    13,381.21/18,466.04 = 7,412.87/x
  3. Step 3: Cross multiply
    13,381.21x = 18,466.04 × 7,412.87
  4. Step 4: Simplify right side
    13,381.21x = 136,886,353.93
  5. Step 5: Solve for x
    x = 136,886,353.93/13,381.21
  6. Step 6: Final answer
    x = 10,229.74

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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.