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Finding the Fourth Proportional to 17,076.40, 25,617.24 and 7,214.80

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Solution

The fourth proportional to 17,076.40, 25,617.24 and 7,214.80 is: 10,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,076.40 : 25,617.24 = 7,214.80 : x
  2. Step 2: Convert to fraction form
    17,076.40/25,617.24 = 7,214.80/x
  3. Step 3: Cross multiply
    17,076.40x = 25,617.24 × 7,214.80
  4. Step 4: Simplify right side
    17,076.40x = 184,823,263.15
  5. Step 5: Solve for x
    x = 184,823,263.15/17,076.40
  6. Step 6: Final answer
    x = 10,823.32

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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.