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Finding the Fourth Proportional to 13,715.66, 18,927.51 and 7,747.22

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Solution

The fourth proportional to 13,715.66, 18,927.51 and 7,747.22 is: 10,691.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.66 : 18,927.51 = 7,747.22 : x
  2. Step 2: Convert to fraction form
    13,715.66/18,927.51 = 7,747.22/x
  3. Step 3: Cross multiply
    13,715.66x = 18,927.51 × 7,747.22
  4. Step 4: Simplify right side
    13,715.66x = 146,635,584.02
  5. Step 5: Solve for x
    x = 146,635,584.02/13,715.66
  6. Step 6: Final answer
    x = 10,691.11

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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.