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Finding the Fourth Proportional to 14,566.78, 20,102.13 and 7,942.78

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Solution

The fourth proportional to 14,566.78, 20,102.13 and 7,942.78 is: 10,961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.78 : 20,102.13 = 7,942.78 : x
  2. Step 2: Convert to fraction form
    14,566.78/20,102.13 = 7,942.78/x
  3. Step 3: Cross multiply
    14,566.78x = 20,102.13 × 7,942.78
  4. Step 4: Simplify right side
    14,566.78x = 159,666,796.12
  5. Step 5: Solve for x
    x = 159,666,796.12/14,566.78
  6. Step 6: Final answer
    x = 10,961.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.