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Finding the Fourth Proportional to 23,538.25, 35,311.74 and 7,744.15

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Solution

The fourth proportional to 23,538.25, 35,311.74 and 7,744.15 is: 11,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538.25 : 35,311.74 = 7,744.15 : x
  2. Step 2: Convert to fraction form
    23,538.25/35,311.74 = 7,744.15/x
  3. Step 3: Cross multiply
    23,538.25x = 35,311.74 × 7,744.15
  4. Step 4: Simplify right side
    23,538.25x = 273,459,411.32
  5. Step 5: Solve for x
    x = 273,459,411.32/23,538.25
  6. Step 6: Final answer
    x = 11,617.66

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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.