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Finding the Fourth Proportional to 23,493, 35,241.16 and 9,453.10

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Solution

The fourth proportional to 23,493, 35,241.16 and 9,453.10 is: 14,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,493 : 35,241.16 = 9,453.10 : x
  2. Step 2: Convert to fraction form
    23,493/35,241.16 = 9,453.10/x
  3. Step 3: Cross multiply
    23,493x = 35,241.16 × 9,453.10
  4. Step 4: Simplify right side
    23,493x = 333,138,209.60
  5. Step 5: Solve for x
    x = 333,138,209.60/23,493
  6. Step 6: Final answer
    x = 14,180.32

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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.