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Finding the Fourth Proportional to 13,004.13, 17,954.49 and 8,535.48

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Solution

The fourth proportional to 13,004.13, 17,954.49 and 8,535.48 is: 11,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.13 : 17,954.49 = 8,535.48 : x
  2. Step 2: Convert to fraction form
    13,004.13/17,954.49 = 8,535.48/x
  3. Step 3: Cross multiply
    13,004.13x = 17,954.49 × 8,535.48
  4. Step 4: Simplify right side
    13,004.13x = 153,250,154.98
  5. Step 5: Solve for x
    x = 153,250,154.98/13,004.13
  6. Step 6: Final answer
    x = 11,784.73

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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.