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Finding the Fourth Proportional to 15,855.40, 23,784.24 and 5,467

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Solution

The fourth proportional to 15,855.40, 23,784.24 and 5,467 is: 8,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.40 : 23,784.24 = 5,467 : x
  2. Step 2: Convert to fraction form
    15,855.40/23,784.24 = 5,467/x
  3. Step 3: Cross multiply
    15,855.40x = 23,784.24 × 5,467
  4. Step 4: Simplify right side
    15,855.40x = 130,028,440.08
  5. Step 5: Solve for x
    x = 130,028,440.08/15,855.40
  6. Step 6: Final answer
    x = 8,200.89

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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.