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Finding the Fourth Proportional to 13,019.60, 17,965.86 and 7,713.56

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Solution

The fourth proportional to 13,019.60, 17,965.86 and 7,713.56 is: 10,644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.60 : 17,965.86 = 7,713.56 : x
  2. Step 2: Convert to fraction form
    13,019.60/17,965.86 = 7,713.56/x
  3. Step 3: Cross multiply
    13,019.60x = 17,965.86 × 7,713.56
  4. Step 4: Simplify right side
    13,019.60x = 138,580,739.06
  5. Step 5: Solve for x
    x = 138,580,739.06/13,019.60
  6. Step 6: Final answer
    x = 10,644.01

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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.