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Finding the Fourth Proportional to 25,435.73, 38,154 and 6,717.69

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Solution

The fourth proportional to 25,435.73, 38,154 and 6,717.69 is: 10,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,435.73 : 38,154 = 6,717.69 : x
  2. Step 2: Convert to fraction form
    25,435.73/38,154 = 6,717.69/x
  3. Step 3: Cross multiply
    25,435.73x = 38,154 × 6,717.69
  4. Step 4: Simplify right side
    25,435.73x = 256,306,744.26
  5. Step 5: Solve for x
    x = 256,306,744.26/25,435.73
  6. Step 6: Final answer
    x = 10,076.64

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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.