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Finding the Fourth Proportional to 23,505.83, 35,255.27 and 7,712.53

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Solution

The fourth proportional to 23,505.83, 35,255.27 and 7,712.53 is: 11,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505.83 : 35,255.27 = 7,712.53 : x
  2. Step 2: Convert to fraction form
    23,505.83/35,255.27 = 7,712.53/x
  3. Step 3: Cross multiply
    23,505.83x = 35,255.27 × 7,712.53
  4. Step 4: Simplify right side
    23,505.83x = 271,907,327.53
  5. Step 5: Solve for x
    x = 271,907,327.53/23,505.83
  6. Step 6: Final answer
    x = 11,567.65

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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.