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Finding the Fourth Proportional to 25,809.84, 38,718.36 and 8,285.04

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Solution

The fourth proportional to 25,809.84, 38,718.36 and 8,285.04 is: 12,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,809.84 : 38,718.36 = 8,285.04 : x
  2. Step 2: Convert to fraction form
    25,809.84/38,718.36 = 8,285.04/x
  3. Step 3: Cross multiply
    25,809.84x = 38,718.36 × 8,285.04
  4. Step 4: Simplify right side
    25,809.84x = 320,783,161.33
  5. Step 5: Solve for x
    x = 320,783,161.33/25,809.84
  6. Step 6: Final answer
    x = 12,428.72

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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.