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Finding the Fourth Proportional to 23,796.56, 35,699.85 and 9,005.15

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Solution

The fourth proportional to 23,796.56, 35,699.85 and 9,005.15 is: 13,509.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.56 : 35,699.85 = 9,005.15 : x
  2. Step 2: Convert to fraction form
    23,796.56/35,699.85 = 9,005.15/x
  3. Step 3: Cross multiply
    23,796.56x = 35,699.85 × 9,005.15
  4. Step 4: Simplify right side
    23,796.56x = 321,482,593.48
  5. Step 5: Solve for x
    x = 321,482,593.48/23,796.56
  6. Step 6: Final answer
    x = 13,509.62

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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.