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Finding the Fourth Proportional to 25,146.68, 37,720.50 and 7,616.44

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Solution

The fourth proportional to 25,146.68, 37,720.50 and 7,616.44 is: 11,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146.68 : 37,720.50 = 7,616.44 : x
  2. Step 2: Convert to fraction form
    25,146.68/37,720.50 = 7,616.44/x
  3. Step 3: Cross multiply
    25,146.68x = 37,720.50 × 7,616.44
  4. Step 4: Simplify right side
    25,146.68x = 287,295,925.02
  5. Step 5: Solve for x
    x = 287,295,925.02/25,146.68
  6. Step 6: Final answer
    x = 11,424.81

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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.