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Finding the Fourth Proportional to 11,513.36, 17,250.60 and 9,200

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Solution

The fourth proportional to 11,513.36, 17,250.60 and 9,200 is: 13,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.36 : 17,250.60 = 9,200 : x
  2. Step 2: Convert to fraction form
    11,513.36/17,250.60 = 9,200/x
  3. Step 3: Cross multiply
    11,513.36x = 17,250.60 × 9,200
  4. Step 4: Simplify right side
    11,513.36x = 158,705,520
  5. Step 5: Solve for x
    x = 158,705,520/11,513.36
  6. Step 6: Final answer
    x = 13,784.47

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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.