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Finding the Fourth Proportional to 25,125.61, 37,689.21 and 12,638.82

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Solution

The fourth proportional to 25,125.61, 37,689.21 and 12,638.82 is: 18,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,125.61 : 37,689.21 = 12,638.82 : x
  2. Step 2: Convert to fraction form
    25,125.61/37,689.21 = 12,638.82/x
  3. Step 3: Cross multiply
    25,125.61x = 37,689.21 × 12,638.82
  4. Step 4: Simplify right side
    25,125.61x = 476,347,141.13
  5. Step 5: Solve for x
    x = 476,347,141.13/25,125.61
  6. Step 6: Final answer
    x = 18,958.63

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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.