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Finding the Fourth Proportional to 13,019.33, 17,965.77 and 7,352.30

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Solution

The fourth proportional to 13,019.33, 17,965.77 and 7,352.30 is: 10,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.33 : 17,965.77 = 7,352.30 : x
  2. Step 2: Convert to fraction form
    13,019.33/17,965.77 = 7,352.30/x
  3. Step 3: Cross multiply
    13,019.33x = 17,965.77 × 7,352.30
  4. Step 4: Simplify right side
    13,019.33x = 132,089,748.11
  5. Step 5: Solve for x
    x = 132,089,748.11/13,019.33
  6. Step 6: Final answer
    x = 10,145.66

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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.