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Finding the Fourth Proportional to 13,364.66, 18,443.27 and 7,396.74

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Solution

The fourth proportional to 13,364.66, 18,443.27 and 7,396.74 is: 10,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.66 : 18,443.27 = 7,396.74 : x
  2. Step 2: Convert to fraction form
    13,364.66/18,443.27 = 7,396.74/x
  3. Step 3: Cross multiply
    13,364.66x = 18,443.27 × 7,396.74
  4. Step 4: Simplify right side
    13,364.66x = 136,420,072.94
  5. Step 5: Solve for x
    x = 136,420,072.94/13,364.66
  6. Step 6: Final answer
    x = 10,207.52

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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.