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Finding the Fourth Proportional to 13,381.41, 18,466.87 and 7,412.96

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Solution

The fourth proportional to 13,381.41, 18,466.87 and 7,412.96 is: 10,230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.41 : 18,466.87 = 7,412.96 : x
  2. Step 2: Convert to fraction form
    13,381.41/18,466.87 = 7,412.96/x
  3. Step 3: Cross multiply
    13,381.41x = 18,466.87 × 7,412.96
  4. Step 4: Simplify right side
    13,381.41x = 136,894,168.64
  5. Step 5: Solve for x
    x = 136,894,168.64/13,381.41
  6. Step 6: Final answer
    x = 10,230.18

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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.