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Finding the Fourth Proportional to 14,104.81, 19,464.53 and 7,731.43

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Solution

The fourth proportional to 14,104.81, 19,464.53 and 7,731.43 is: 10,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104.81 : 19,464.53 = 7,731.43 : x
  2. Step 2: Convert to fraction form
    14,104.81/19,464.53 = 7,731.43/x
  3. Step 3: Cross multiply
    14,104.81x = 19,464.53 × 7,731.43
  4. Step 4: Simplify right side
    14,104.81x = 150,488,515.20
  5. Step 5: Solve for x
    x = 150,488,515.20/14,104.81
  6. Step 6: Final answer
    x = 10,669.30

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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.