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Finding the Fourth Proportional to 19,829.90, 27,365.22 and 11,446.40

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Solution

The fourth proportional to 19,829.90, 27,365.22 and 11,446.40 is: 15,796.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.90 : 27,365.22 = 11,446.40 : x
  2. Step 2: Convert to fraction form
    19,829.90/27,365.22 = 11,446.40/x
  3. Step 3: Cross multiply
    19,829.90x = 27,365.22 × 11,446.40
  4. Step 4: Simplify right side
    19,829.90x = 313,233,254.21
  5. Step 5: Solve for x
    x = 313,233,254.21/19,829.90
  6. Step 6: Final answer
    x = 15,796.01

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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.