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Finding the Fourth Proportional to 23,937.64, 35,905.94 and 6,407.46

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Solution

The fourth proportional to 23,937.64, 35,905.94 and 6,407.46 is: 9,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,937.64 : 35,905.94 = 6,407.46 : x
  2. Step 2: Convert to fraction form
    23,937.64/35,905.94 = 6,407.46/x
  3. Step 3: Cross multiply
    23,937.64x = 35,905.94 × 6,407.46
  4. Step 4: Simplify right side
    23,937.64x = 230,065,874.31
  5. Step 5: Solve for x
    x = 230,065,874.31/23,937.64
  6. Step 6: Final answer
    x = 9,611.05

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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.