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Finding the Fourth Proportional to 23,666.34, 35,505.18 and 8,083.56

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Solution

The fourth proportional to 23,666.34, 35,505.18 and 8,083.56 is: 12,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,666.34 : 35,505.18 = 8,083.56 : x
  2. Step 2: Convert to fraction form
    23,666.34/35,505.18 = 8,083.56/x
  3. Step 3: Cross multiply
    23,666.34x = 35,505.18 × 8,083.56
  4. Step 4: Simplify right side
    23,666.34x = 287,008,252.84
  5. Step 5: Solve for x
    x = 287,008,252.84/23,666.34
  6. Step 6: Final answer
    x = 12,127.28

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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.