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Finding the Fourth Proportional to 17,696.10, 26,531.84 and 7,830

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Solution

The fourth proportional to 17,696.10, 26,531.84 and 7,830 is: 11,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.10 : 26,531.84 = 7,830 : x
  2. Step 2: Convert to fraction form
    17,696.10/26,531.84 = 7,830/x
  3. Step 3: Cross multiply
    17,696.10x = 26,531.84 × 7,830
  4. Step 4: Simplify right side
    17,696.10x = 207,744,307.20
  5. Step 5: Solve for x
    x = 207,744,307.20/17,696.10
  6. Step 6: Final answer
    x = 11,739.55

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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.