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Finding the Fourth Proportional to 25,188.63, 37,758.31 and 9,382.08

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Solution

The fourth proportional to 25,188.63, 37,758.31 and 9,382.08 is: 14,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,188.63 : 37,758.31 = 9,382.08 : x
  2. Step 2: Convert to fraction form
    25,188.63/37,758.31 = 9,382.08/x
  3. Step 3: Cross multiply
    25,188.63x = 37,758.31 × 9,382.08
  4. Step 4: Simplify right side
    25,188.63x = 354,251,485.08
  5. Step 5: Solve for x
    x = 354,251,485.08/25,188.63
  6. Step 6: Final answer
    x = 14,063.94

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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.