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Finding the Fourth Proportional to 14,094.96, 19,450.17 and 7,807.34

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Solution

The fourth proportional to 14,094.96, 19,450.17 and 7,807.34 is: 10,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094.96 : 19,450.17 = 7,807.34 : x
  2. Step 2: Convert to fraction form
    14,094.96/19,450.17 = 7,807.34/x
  3. Step 3: Cross multiply
    14,094.96x = 19,450.17 × 7,807.34
  4. Step 4: Simplify right side
    14,094.96x = 151,853,993.00
  5. Step 5: Solve for x
    x = 151,853,993.00/14,094.96
  6. Step 6: Final answer
    x = 10,773.64

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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.