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Finding the Fourth Proportional to 23,531.97, 35,307.14 and 10,375.10

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Solution

The fourth proportional to 23,531.97, 35,307.14 and 10,375.10 is: 15,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531.97 : 35,307.14 = 10,375.10 : x
  2. Step 2: Convert to fraction form
    23,531.97/35,307.14 = 10,375.10/x
  3. Step 3: Cross multiply
    23,531.97x = 35,307.14 × 10,375.10
  4. Step 4: Simplify right side
    23,531.97x = 366,314,879.80
  5. Step 5: Solve for x
    x = 366,314,879.80/23,531.97
  6. Step 6: Final answer
    x = 15,566.69

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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.