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Finding the Fourth Proportional to 23,539.88, 35,318.98 and 10,383

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Solution

The fourth proportional to 23,539.88, 35,318.98 and 10,383 is: 15,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,539.88 : 35,318.98 = 10,383 : x
  2. Step 2: Convert to fraction form
    23,539.88/35,318.98 = 10,383/x
  3. Step 3: Cross multiply
    23,539.88x = 35,318.98 × 10,383
  4. Step 4: Simplify right side
    23,539.88x = 366,716,969.34
  5. Step 5: Solve for x
    x = 366,716,969.34/23,539.88
  6. Step 6: Final answer
    x = 15,578.54

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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.