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Finding the Fourth Proportional to 25,049.86, 37,573.47 and 8,410.23

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Solution

The fourth proportional to 25,049.86, 37,573.47 and 8,410.23 is: 12,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,049.86 : 37,573.47 = 8,410.23 : x
  2. Step 2: Convert to fraction form
    25,049.86/37,573.47 = 8,410.23/x
  3. Step 3: Cross multiply
    25,049.86x = 37,573.47 × 8,410.23
  4. Step 4: Simplify right side
    25,049.86x = 316,001,524.60
  5. Step 5: Solve for x
    x = 316,001,524.60/25,049.86
  6. Step 6: Final answer
    x = 12,614.90

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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.