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Finding the Fourth Proportional to 11,664.46, 17,479.40 and 9,599.14

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Solution

The fourth proportional to 11,664.46, 17,479.40 and 9,599.14 is: 14,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.46 : 17,479.40 = 9,599.14 : x
  2. Step 2: Convert to fraction form
    11,664.46/17,479.40 = 9,599.14/x
  3. Step 3: Cross multiply
    11,664.46x = 17,479.40 × 9,599.14
  4. Step 4: Simplify right side
    11,664.46x = 167,787,207.72
  5. Step 5: Solve for x
    x = 167,787,207.72/11,664.46
  6. Step 6: Final answer
    x = 14,384.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.