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Finding the Fourth Proportional to 13,018.16, 17,965.09 and 7,049.81

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Solution

The fourth proportional to 13,018.16, 17,965.09 and 7,049.81 is: 9,728.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,018.16 : 17,965.09 = 7,049.81 : x
  2. Step 2: Convert to fraction form
    13,018.16/17,965.09 = 7,049.81/x
  3. Step 3: Cross multiply
    13,018.16x = 17,965.09 × 7,049.81
  4. Step 4: Simplify right side
    13,018.16x = 126,650,524.86
  5. Step 5: Solve for x
    x = 126,650,524.86/13,018.16
  6. Step 6: Final answer
    x = 9,728.76

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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.