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Finding the Fourth Proportional to 23,461.92, 35,189.10 and 8,677.80

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Solution

The fourth proportional to 23,461.92, 35,189.10 and 8,677.80 is: 13,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461.92 : 35,189.10 = 8,677.80 : x
  2. Step 2: Convert to fraction form
    23,461.92/35,189.10 = 8,677.80/x
  3. Step 3: Cross multiply
    23,461.92x = 35,189.10 × 8,677.80
  4. Step 4: Simplify right side
    23,461.92x = 305,363,971.98
  5. Step 5: Solve for x
    x = 305,363,971.98/23,461.92
  6. Step 6: Final answer
    x = 13,015.30

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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.