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Finding the Fourth Proportional to 25,171.56, 37,751.37 and 9,384.00

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Solution

The fourth proportional to 25,171.56, 37,751.37 and 9,384.00 is: 14,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,171.56 : 37,751.37 = 9,384.00 : x
  2. Step 2: Convert to fraction form
    25,171.56/37,751.37 = 9,384.00/x
  3. Step 3: Cross multiply
    25,171.56x = 37,751.37 × 9,384.00
  4. Step 4: Simplify right side
    25,171.56x = 354,258,891.67
  5. Step 5: Solve for x
    x = 354,258,891.67/25,171.56
  6. Step 6: Final answer
    x = 14,073.78

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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.