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Finding the Fourth Proportional to 13,920.27, 19,184.20 and 9,887.28

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Solution

The fourth proportional to 13,920.27, 19,184.20 and 9,887.28 is: 13,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.27 : 19,184.20 = 9,887.28 : x
  2. Step 2: Convert to fraction form
    13,920.27/19,184.20 = 9,887.28/x
  3. Step 3: Cross multiply
    13,920.27x = 19,184.20 × 9,887.28
  4. Step 4: Simplify right side
    13,920.27x = 189,679,556.98
  5. Step 5: Solve for x
    x = 189,679,556.98/13,920.27
  6. Step 6: Final answer
    x = 13,626.14

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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.