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Finding the Fourth Proportional to 13,702.90, 18,911.60 and 11,399.22

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Solution

The fourth proportional to 13,702.90, 18,911.60 and 11,399.22 is: 15,732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.90 : 18,911.60 = 11,399.22 : x
  2. Step 2: Convert to fraction form
    13,702.90/18,911.60 = 11,399.22/x
  3. Step 3: Cross multiply
    13,702.90x = 18,911.60 × 11,399.22
  4. Step 4: Simplify right side
    13,702.90x = 215,577,337.40
  5. Step 5: Solve for x
    x = 215,577,337.40/13,702.90
  6. Step 6: Final answer
    x = 15,732.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.