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Finding the Fourth Proportional to 13,019.83, 17,968.94 and 7,354.81

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Solution

The fourth proportional to 13,019.83, 17,968.94 and 7,354.81 is: 10,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.83 : 17,968.94 = 7,354.81 : x
  2. Step 2: Convert to fraction form
    13,019.83/17,968.94 = 7,354.81/x
  3. Step 3: Cross multiply
    13,019.83x = 17,968.94 × 7,354.81
  4. Step 4: Simplify right side
    13,019.83x = 132,158,178.14
  5. Step 5: Solve for x
    x = 132,158,178.14/13,019.83
  6. Step 6: Final answer
    x = 10,150.53

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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.