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Finding the Fourth Proportional to 25,115.76, 37,678.83 and 8,250.05

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Solution

The fourth proportional to 25,115.76, 37,678.83 and 8,250.05 is: 12,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,115.76 : 37,678.83 = 8,250.05 : x
  2. Step 2: Convert to fraction form
    25,115.76/37,678.83 = 8,250.05/x
  3. Step 3: Cross multiply
    25,115.76x = 37,678.83 × 8,250.05
  4. Step 4: Simplify right side
    25,115.76x = 310,852,043.05
  5. Step 5: Solve for x
    x = 310,852,043.05/25,115.76
  6. Step 6: Final answer
    x = 12,376.77

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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.