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Finding the Fourth Proportional to 23,693.15, 35,539.56 and 9,649.88

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Solution

The fourth proportional to 23,693.15, 35,539.56 and 9,649.88 is: 14,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.15 : 35,539.56 = 9,649.88 : x
  2. Step 2: Convert to fraction form
    23,693.15/35,539.56 = 9,649.88/x
  3. Step 3: Cross multiply
    23,693.15x = 35,539.56 × 9,649.88
  4. Step 4: Simplify right side
    23,693.15x = 342,952,489.25
  5. Step 5: Solve for x
    x = 342,952,489.25/23,693.15
  6. Step 6: Final answer
    x = 14,474.75

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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.