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Finding the Fourth Proportional to 13,450.66, 18,562.14 and 7,401.16

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Solution

The fourth proportional to 13,450.66, 18,562.14 and 7,401.16 is: 10,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450.66 : 18,562.14 = 7,401.16 : x
  2. Step 2: Convert to fraction form
    13,450.66/18,562.14 = 7,401.16/x
  3. Step 3: Cross multiply
    13,450.66x = 18,562.14 × 7,401.16
  4. Step 4: Simplify right side
    13,450.66x = 137,381,368.08
  5. Step 5: Solve for x
    x = 137,381,368.08/13,450.66
  6. Step 6: Final answer
    x = 10,213.73

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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.