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Finding the Fourth Proportional to 23,830.46, 35,742.95 and 6,301.66

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Solution

The fourth proportional to 23,830.46, 35,742.95 and 6,301.66 is: 9,451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.46 : 35,742.95 = 6,301.66 : x
  2. Step 2: Convert to fraction form
    23,830.46/35,742.95 = 6,301.66/x
  3. Step 3: Cross multiply
    23,830.46x = 35,742.95 × 6,301.66
  4. Step 4: Simplify right side
    23,830.46x = 225,239,797.43
  5. Step 5: Solve for x
    x = 225,239,797.43/23,830.46
  6. Step 6: Final answer
    x = 9,451.76

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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.