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Finding the Fourth Proportional to 14,114.50, 19,477.60 and 7,740.97

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Solution

The fourth proportional to 14,114.50, 19,477.60 and 7,740.97 is: 10,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.50 : 19,477.60 = 7,740.97 : x
  2. Step 2: Convert to fraction form
    14,114.50/19,477.60 = 7,740.97/x
  3. Step 3: Cross multiply
    14,114.50x = 19,477.60 × 7,740.97
  4. Step 4: Simplify right side
    14,114.50x = 150,775,517.27
  5. Step 5: Solve for x
    x = 150,775,517.27/14,114.50
  6. Step 6: Final answer
    x = 10,682.31

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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.