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Finding the Fourth Proportional to 13,663.69, 18,857.04 and 7,696.53

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Solution

The fourth proportional to 13,663.69, 18,857.04 and 7,696.53 is: 10,621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.69 : 18,857.04 = 7,696.53 : x
  2. Step 2: Convert to fraction form
    13,663.69/18,857.04 = 7,696.53/x
  3. Step 3: Cross multiply
    13,663.69x = 18,857.04 × 7,696.53
  4. Step 4: Simplify right side
    13,663.69x = 145,133,774.07
  5. Step 5: Solve for x
    x = 145,133,774.07/13,663.69
  6. Step 6: Final answer
    x = 10,621.86

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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.