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Finding the Fourth Proportional to 23,494.81, 35,241.26 and 7,701.02

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Solution

The fourth proportional to 23,494.81, 35,241.26 and 7,701.02 is: 11,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494.81 : 35,241.26 = 7,701.02 : x
  2. Step 2: Convert to fraction form
    23,494.81/35,241.26 = 7,701.02/x
  3. Step 3: Cross multiply
    23,494.81x = 35,241.26 × 7,701.02
  4. Step 4: Simplify right side
    23,494.81x = 271,393,648.09
  5. Step 5: Solve for x
    x = 271,393,648.09/23,494.81
  6. Step 6: Final answer
    x = 11,551.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.