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Finding the Fourth Proportional to 14,289.85, 19,721.44 and 8,240.31

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Solution

The fourth proportional to 14,289.85, 19,721.44 and 8,240.31 is: 11,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.85 : 19,721.44 = 8,240.31 : x
  2. Step 2: Convert to fraction form
    14,289.85/19,721.44 = 8,240.31/x
  3. Step 3: Cross multiply
    14,289.85x = 19,721.44 × 8,240.31
  4. Step 4: Simplify right side
    14,289.85x = 162,510,860.66
  5. Step 5: Solve for x
    x = 162,510,860.66/14,289.85
  6. Step 6: Final answer
    x = 11,372.47

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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.