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Finding the Fourth Proportional to 23,539.23, 35,304.94 and 7,744.45

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Solution

The fourth proportional to 23,539.23, 35,304.94 and 7,744.45 is: 11,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,539.23 : 35,304.94 = 7,744.45 : x
  2. Step 2: Convert to fraction form
    23,539.23/35,304.94 = 7,744.45/x
  3. Step 3: Cross multiply
    23,539.23x = 35,304.94 × 7,744.45
  4. Step 4: Simplify right side
    23,539.23x = 273,417,342.58
  5. Step 5: Solve for x
    x = 273,417,342.58/23,539.23
  6. Step 6: Final answer
    x = 11,615.39

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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.