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Finding the Fourth Proportional to 13,665.32, 18,857.76 and 7,696.86

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Solution

The fourth proportional to 13,665.32, 18,857.76 and 7,696.86 is: 10,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.32 : 18,857.76 = 7,696.86 : x
  2. Step 2: Convert to fraction form
    13,665.32/18,857.76 = 7,696.86/x
  3. Step 3: Cross multiply
    13,665.32x = 18,857.76 × 7,696.86
  4. Step 4: Simplify right side
    13,665.32x = 145,145,439.05
  5. Step 5: Solve for x
    x = 145,145,439.05/13,665.32
  6. Step 6: Final answer
    x = 10,621.45

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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.