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Finding the Fourth Proportional to 11,812.53, 17,696.19 and 11,416.89

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Solution

The fourth proportional to 11,812.53, 17,696.19 and 11,416.89 is: 17,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.53 : 17,696.19 = 11,416.89 : x
  2. Step 2: Convert to fraction form
    11,812.53/17,696.19 = 11,416.89/x
  3. Step 3: Cross multiply
    11,812.53x = 17,696.19 × 11,416.89
  4. Step 4: Simplify right side
    11,812.53x = 202,035,454.65
  5. Step 5: Solve for x
    x = 202,035,454.65/11,812.53
  6. Step 6: Final answer
    x = 17,103.49

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Why These Related Problems?

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