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Finding the Fourth Proportional to 25,146.29, 37,719.50 and 7,616.27

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Solution

The fourth proportional to 25,146.29, 37,719.50 and 7,616.27 is: 11,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146.29 : 37,719.50 = 7,616.27 : x
  2. Step 2: Convert to fraction form
    25,146.29/37,719.50 = 7,616.27/x
  3. Step 3: Cross multiply
    25,146.29x = 37,719.50 × 7,616.27
  4. Step 4: Simplify right side
    25,146.29x = 287,281,896.27
  5. Step 5: Solve for x
    x = 287,281,896.27/25,146.29
  6. Step 6: Final answer
    x = 11,424.42

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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.