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Finding the Fourth Proportional to 13,004.49, 17,940.31 and 8,285.84

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Solution

The fourth proportional to 13,004.49, 17,940.31 and 8,285.84 is: 11,430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.49 : 17,940.31 = 8,285.84 : x
  2. Step 2: Convert to fraction form
    13,004.49/17,940.31 = 8,285.84/x
  3. Step 3: Cross multiply
    13,004.49x = 17,940.31 × 8,285.84
  4. Step 4: Simplify right side
    13,004.49x = 148,650,427.79
  5. Step 5: Solve for x
    x = 148,650,427.79/13,004.49
  6. Step 6: Final answer
    x = 11,430.70

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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.