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Finding the Fourth Proportional to 13,696.72, 18,901.56 and 7,409.08

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Solution

The fourth proportional to 13,696.72, 18,901.56 and 7,409.08 is: 10,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.72 : 18,901.56 = 7,409.08 : x
  2. Step 2: Convert to fraction form
    13,696.72/18,901.56 = 7,409.08/x
  3. Step 3: Cross multiply
    13,696.72x = 18,901.56 × 7,409.08
  4. Step 4: Simplify right side
    13,696.72x = 140,043,170.16
  5. Step 5: Solve for x
    x = 140,043,170.16/13,696.72
  6. Step 6: Final answer
    x = 10,224.58

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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.