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Finding the Fourth Proportional to 13,970.94, 19,283.99 and 8,309.68

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Solution

The fourth proportional to 13,970.94, 19,283.99 and 8,309.68 is: 11,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.94 : 19,283.99 = 8,309.68 : x
  2. Step 2: Convert to fraction form
    13,970.94/19,283.99 = 8,309.68/x
  3. Step 3: Cross multiply
    13,970.94x = 19,283.99 × 8,309.68
  4. Step 4: Simplify right side
    13,970.94x = 160,243,786.02
  5. Step 5: Solve for x
    x = 160,243,786.02/13,970.94
  6. Step 6: Final answer
    x = 11,469.79

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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.