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Finding the Fourth Proportional to 23,609.64, 35,408.79 and 6,965.16

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Solution

The fourth proportional to 23,609.64, 35,408.79 and 6,965.16 is: 10,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609.64 : 35,408.79 = 6,965.16 : x
  2. Step 2: Convert to fraction form
    23,609.64/35,408.79 = 6,965.16/x
  3. Step 3: Cross multiply
    23,609.64x = 35,408.79 × 6,965.16
  4. Step 4: Simplify right side
    23,609.64x = 246,627,887.76
  5. Step 5: Solve for x
    x = 246,627,887.76/23,609.64
  6. Step 6: Final answer
    x = 10,446.07

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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.