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Finding the Fourth Proportional to 25,092.41, 37,638.69 and 8,464.13

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Solution

The fourth proportional to 25,092.41, 37,638.69 and 8,464.13 is: 12,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,092.41 : 37,638.69 = 8,464.13 : x
  2. Step 2: Convert to fraction form
    25,092.41/37,638.69 = 8,464.13/x
  3. Step 3: Cross multiply
    25,092.41x = 37,638.69 × 8,464.13
  4. Step 4: Simplify right side
    25,092.41x = 318,578,545.26
  5. Step 5: Solve for x
    x = 318,578,545.26/25,092.41
  6. Step 6: Final answer
    x = 12,696.21

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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.