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Finding the Fourth Proportional to 23,461.20, 35,194.86 and 7,660.71

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Solution

The fourth proportional to 23,461.20, 35,194.86 and 7,660.71 is: 11,492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461.20 : 35,194.86 = 7,660.71 : x
  2. Step 2: Convert to fraction form
    23,461.20/35,194.86 = 7,660.71/x
  3. Step 3: Cross multiply
    23,461.20x = 35,194.86 × 7,660.71
  4. Step 4: Simplify right side
    23,461.20x = 269,617,615.95
  5. Step 5: Solve for x
    x = 269,617,615.95/23,461.20
  6. Step 6: Final answer
    x = 11,492.06

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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.