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Finding the Fourth Proportional to 13,162.96, 19,744.53 and 5,266.14

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Solution

The fourth proportional to 13,162.96, 19,744.53 and 5,266.14 is: 7,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.96 : 19,744.53 = 5,266.14 : x
  2. Step 2: Convert to fraction form
    13,162.96/19,744.53 = 5,266.14/x
  3. Step 3: Cross multiply
    13,162.96x = 19,744.53 × 5,266.14
  4. Step 4: Simplify right side
    13,162.96x = 103,977,459.21
  5. Step 5: Solve for x
    x = 103,977,459.21/13,162.96
  6. Step 6: Final answer
    x = 7,899.25

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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.