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Finding the Fourth Proportional to 25,578.57, 38,364.21 and 8,047.94

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Solution

The fourth proportional to 25,578.57, 38,364.21 and 8,047.94 is: 12,070.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,578.57 : 38,364.21 = 8,047.94 : x
  2. Step 2: Convert to fraction form
    25,578.57/38,364.21 = 8,047.94/x
  3. Step 3: Cross multiply
    25,578.57x = 38,364.21 × 8,047.94
  4. Step 4: Simplify right side
    25,578.57x = 308,752,956.14
  5. Step 5: Solve for x
    x = 308,752,956.14/25,578.57
  6. Step 6: Final answer
    x = 12,070.77

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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.