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Finding the Fourth Proportional to 13,741.04, 18,955.68 and 8,696.81

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Solution

The fourth proportional to 13,741.04, 18,955.68 and 8,696.81 is: 11,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741.04 : 18,955.68 = 8,696.81 : x
  2. Step 2: Convert to fraction form
    13,741.04/18,955.68 = 8,696.81/x
  3. Step 3: Cross multiply
    13,741.04x = 18,955.68 × 8,696.81
  4. Step 4: Simplify right side
    13,741.04x = 164,853,947.38
  5. Step 5: Solve for x
    x = 164,853,947.38/13,741.04
  6. Step 6: Final answer
    x = 11,997.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.