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Finding the Fourth Proportional to 13,702.77, 18,877.46 and 11,297.07

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Solution

The fourth proportional to 13,702.77, 18,877.46 and 11,297.07 is: 15,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.77 : 18,877.46 = 11,297.07 : x
  2. Step 2: Convert to fraction form
    13,702.77/18,877.46 = 11,297.07/x
  3. Step 3: Cross multiply
    13,702.77x = 18,877.46 × 11,297.07
  4. Step 4: Simplify right side
    13,702.77x = 213,259,930.56
  5. Step 5: Solve for x
    x = 213,259,930.56/13,702.77
  6. Step 6: Final answer
    x = 15,563.27

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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.