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Finding the Fourth Proportional to 25,816.71, 38,725.11 and 9,176.72

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Solution

The fourth proportional to 25,816.71, 38,725.11 and 9,176.72 is: 13,765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,816.71 : 38,725.11 = 9,176.72 : x
  2. Step 2: Convert to fraction form
    25,816.71/38,725.11 = 9,176.72/x
  3. Step 3: Cross multiply
    25,816.71x = 38,725.11 × 9,176.72
  4. Step 4: Simplify right side
    25,816.71x = 355,369,297.81
  5. Step 5: Solve for x
    x = 355,369,297.81/25,816.71
  6. Step 6: Final answer
    x = 13,765.09

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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.