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Finding the Fourth Proportional to 23,741.64, 35,612.12 and 7,101.80

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Solution

The fourth proportional to 23,741.64, 35,612.12 and 7,101.80 is: 10,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,741.64 : 35,612.12 = 7,101.80 : x
  2. Step 2: Convert to fraction form
    23,741.64/35,612.12 = 7,101.80/x
  3. Step 3: Cross multiply
    23,741.64x = 35,612.12 × 7,101.80
  4. Step 4: Simplify right side
    23,741.64x = 252,910,153.82
  5. Step 5: Solve for x
    x = 252,910,153.82/23,741.64
  6. Step 6: Final answer
    x = 10,652.60

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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.