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Finding the Fourth Proportional to 11,614.74, 17,423.46 and 4,222.68

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Solution

The fourth proportional to 11,614.74, 17,423.46 and 4,222.68 is: 6,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.74 : 17,423.46 = 4,222.68 : x
  2. Step 2: Convert to fraction form
    11,614.74/17,423.46 = 4,222.68/x
  3. Step 3: Cross multiply
    11,614.74x = 17,423.46 × 4,222.68
  4. Step 4: Simplify right side
    11,614.74x = 73,573,696.07
  5. Step 5: Solve for x
    x = 73,573,696.07/11,614.74
  6. Step 6: Final answer
    x = 6,334.51

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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.