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Finding the Fourth Proportional to 13,843.98, 19,105.02 and 7,556.40

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Solution

The fourth proportional to 13,843.98, 19,105.02 and 7,556.40 is: 10,428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.98 : 19,105.02 = 7,556.40 : x
  2. Step 2: Convert to fraction form
    13,843.98/19,105.02 = 7,556.40/x
  3. Step 3: Cross multiply
    13,843.98x = 19,105.02 × 7,556.40
  4. Step 4: Simplify right side
    13,843.98x = 144,365,173.13
  5. Step 5: Solve for x
    x = 144,365,173.13/13,843.98
  6. Step 6: Final answer
    x = 10,428.01

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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.