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Finding the Fourth Proportional to 23,696.29, 35,519.46 and 7,897.11

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Solution

The fourth proportional to 23,696.29, 35,519.46 and 7,897.11 is: 11,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.29 : 35,519.46 = 7,897.11 : x
  2. Step 2: Convert to fraction form
    23,696.29/35,519.46 = 7,897.11/x
  3. Step 3: Cross multiply
    23,696.29x = 35,519.46 × 7,897.11
  4. Step 4: Simplify right side
    23,696.29x = 280,501,082.76
  5. Step 5: Solve for x
    x = 280,501,082.76/23,696.29
  6. Step 6: Final answer
    x = 11,837.34

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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.