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Finding the Fourth Proportional to 13,884.48, 19,165.14 and 11,057.04

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Solution

The fourth proportional to 13,884.48, 19,165.14 and 11,057.04 is: 15,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.48 : 19,165.14 = 11,057.04 : x
  2. Step 2: Convert to fraction form
    13,884.48/19,165.14 = 11,057.04/x
  3. Step 3: Cross multiply
    13,884.48x = 19,165.14 × 11,057.04
  4. Step 4: Simplify right side
    13,884.48x = 211,909,719.59
  5. Step 5: Solve for x
    x = 211,909,719.59/13,884.48
  6. Step 6: Final answer
    x = 15,262.34

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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.