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Finding the Fourth Proportional to 23,612.06, 35,421.86 and 7,817.66

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Solution

The fourth proportional to 23,612.06, 35,421.86 and 7,817.66 is: 11,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,612.06 : 35,421.86 = 7,817.66 : x
  2. Step 2: Convert to fraction form
    23,612.06/35,421.86 = 7,817.66/x
  3. Step 3: Cross multiply
    23,612.06x = 35,421.86 × 7,817.66
  4. Step 4: Simplify right side
    23,612.06x = 276,916,188.59
  5. Step 5: Solve for x
    x = 276,916,188.59/23,612.06
  6. Step 6: Final answer
    x = 11,727.75

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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.