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Finding the Fourth Proportional to 17,228.40, 25,842.60 and 6,147.60

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Solution

The fourth proportional to 17,228.40, 25,842.60 and 6,147.60 is: 9,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,228.40 : 25,842.60 = 6,147.60 : x
  2. Step 2: Convert to fraction form
    17,228.40/25,842.60 = 6,147.60/x
  3. Step 3: Cross multiply
    17,228.40x = 25,842.60 × 6,147.60
  4. Step 4: Simplify right side
    17,228.40x = 158,869,967.76
  5. Step 5: Solve for x
    x = 158,869,967.76/17,228.40
  6. Step 6: Final answer
    x = 9,221.40

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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.