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Finding the Fourth Proportional to 23,897.23, 35,851.31 and 7,265.09

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Solution

The fourth proportional to 23,897.23, 35,851.31 and 7,265.09 is: 10,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.23 : 35,851.31 = 7,265.09 : x
  2. Step 2: Convert to fraction form
    23,897.23/35,851.31 = 7,265.09/x
  3. Step 3: Cross multiply
    23,897.23x = 35,851.31 × 7,265.09
  4. Step 4: Simplify right side
    23,897.23x = 260,463,074.31
  5. Step 5: Solve for x
    x = 260,463,074.31/23,897.23
  6. Step 6: Final answer
    x = 10,899.30

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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.