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Finding the Fourth Proportional to 13,973.75, 19,278.31 and 8,002.23

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Solution

The fourth proportional to 13,973.75, 19,278.31 and 8,002.23 is: 11,039.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.75 : 19,278.31 = 8,002.23 : x
  2. Step 2: Convert to fraction form
    13,973.75/19,278.31 = 8,002.23/x
  3. Step 3: Cross multiply
    13,973.75x = 19,278.31 × 8,002.23
  4. Step 4: Simplify right side
    13,973.75x = 154,269,470.63
  5. Step 5: Solve for x
    x = 154,269,470.63/13,973.75
  6. Step 6: Final answer
    x = 11,039.95

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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.