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Finding the Fourth Proportional to 13,091.96, 19,637.94 and 9,213.68

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Solution

The fourth proportional to 13,091.96, 19,637.94 and 9,213.68 is: 13,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.96 : 19,637.94 = 9,213.68 : x
  2. Step 2: Convert to fraction form
    13,091.96/19,637.94 = 9,213.68/x
  3. Step 3: Cross multiply
    13,091.96x = 19,637.94 × 9,213.68
  4. Step 4: Simplify right side
    13,091.96x = 180,937,695.02
  5. Step 5: Solve for x
    x = 180,937,695.02/13,091.96
  6. Step 6: Final answer
    x = 13,820.52

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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.