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Finding the Fourth Proportional to 13,091.79, 19,638.90 and 5,301.21

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Solution

The fourth proportional to 13,091.79, 19,638.90 and 5,301.21 is: 7,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.79 : 19,638.90 = 5,301.21 : x
  2. Step 2: Convert to fraction form
    13,091.79/19,638.90 = 5,301.21/x
  3. Step 3: Cross multiply
    13,091.79x = 19,638.90 × 5,301.21
  4. Step 4: Simplify right side
    13,091.79x = 104,109,933.07
  5. Step 5: Solve for x
    x = 104,109,933.07/13,091.79
  6. Step 6: Final answer
    x = 7,952.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.