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Finding the Fourth Proportional to 17,696.64, 26,544.96 and 7,833.60

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Solution

The fourth proportional to 17,696.64, 26,544.96 and 7,833.60 is: 11,750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.64 : 26,544.96 = 7,833.60 : x
  2. Step 2: Convert to fraction form
    17,696.64/26,544.96 = 7,833.60/x
  3. Step 3: Cross multiply
    17,696.64x = 26,544.96 × 7,833.60
  4. Step 4: Simplify right side
    17,696.64x = 207,942,598.66
  5. Step 5: Solve for x
    x = 207,942,598.66/17,696.64
  6. Step 6: Final answer
    x = 11,750.40

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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.