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Finding the Fourth Proportional to 25,231.13, 37,847.74 and 9,434.56

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Solution

The fourth proportional to 25,231.13, 37,847.74 and 9,434.56 is: 14,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,231.13 : 37,847.74 = 9,434.56 : x
  2. Step 2: Convert to fraction form
    25,231.13/37,847.74 = 9,434.56/x
  3. Step 3: Cross multiply
    25,231.13x = 37,847.74 × 9,434.56
  4. Step 4: Simplify right side
    25,231.13x = 357,076,773.89
  5. Step 5: Solve for x
    x = 357,076,773.89/25,231.13
  6. Step 6: Final answer
    x = 14,152.23

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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.