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Finding the Fourth Proportional to 13,091.80, 19,638.90 and 5,301.22

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Solution

The fourth proportional to 13,091.80, 19,638.90 and 5,301.22 is: 7,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.80 : 19,638.90 = 5,301.22 : x
  2. Step 2: Convert to fraction form
    13,091.80/19,638.90 = 5,301.22/x
  3. Step 3: Cross multiply
    13,091.80x = 19,638.90 × 5,301.22
  4. Step 4: Simplify right side
    13,091.80x = 104,110,129.46
  5. Step 5: Solve for x
    x = 104,110,129.46/13,091.80
  6. Step 6: Final answer
    x = 7,952.32

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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.