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Finding the Fourth Proportional to 13,702.13, 18,891.73 and 11,181.68

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Solution

The fourth proportional to 13,702.13, 18,891.73 and 11,181.68 is: 15,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.13 : 18,891.73 = 11,181.68 : x
  2. Step 2: Convert to fraction form
    13,702.13/18,891.73 = 11,181.68/x
  3. Step 3: Cross multiply
    13,702.13x = 18,891.73 × 11,181.68
  4. Step 4: Simplify right side
    13,702.13x = 211,241,279.51
  5. Step 5: Solve for x
    x = 211,241,279.51/13,702.13
  6. Step 6: Final answer
    x = 15,416.67

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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.