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Finding the Fourth Proportional to 23,772.96, 35,667 and 9,741.60

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Solution

The fourth proportional to 23,772.96, 35,667 and 9,741.60 is: 14,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772.96 : 35,667 = 9,741.60 : x
  2. Step 2: Convert to fraction form
    23,772.96/35,667 = 9,741.60/x
  3. Step 3: Cross multiply
    23,772.96x = 35,667 × 9,741.60
  4. Step 4: Simplify right side
    23,772.96x = 347,453,647.20
  5. Step 5: Solve for x
    x = 347,453,647.20/23,772.96
  6. Step 6: Final answer
    x = 14,615.50

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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.