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Finding the Fourth Proportional to 23,638.68, 35,471.82 and 8,857.98

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Solution

The fourth proportional to 23,638.68, 35,471.82 and 8,857.98 is: 13,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.68 : 35,471.82 = 8,857.98 : x
  2. Step 2: Convert to fraction form
    23,638.68/35,471.82 = 8,857.98/x
  3. Step 3: Cross multiply
    23,638.68x = 35,471.82 × 8,857.98
  4. Step 4: Simplify right side
    23,638.68x = 314,208,672.12
  5. Step 5: Solve for x
    x = 314,208,672.12/23,638.68
  6. Step 6: Final answer
    x = 13,292.14

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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.