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Finding the Fourth Proportional to 25,130.80, 37,696.97 and 6,410.85

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Solution

The fourth proportional to 25,130.80, 37,696.97 and 6,410.85 is: 9,616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,130.80 : 37,696.97 = 6,410.85 : x
  2. Step 2: Convert to fraction form
    25,130.80/37,696.97 = 6,410.85/x
  3. Step 3: Cross multiply
    25,130.80x = 37,696.97 × 6,410.85
  4. Step 4: Simplify right side
    25,130.80x = 241,669,620.12
  5. Step 5: Solve for x
    x = 241,669,620.12/25,130.80
  6. Step 6: Final answer
    x = 9,616.47

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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.