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Finding the Fourth Proportional to 13,747.70, 18,971.83 and 7,460.07

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Solution

The fourth proportional to 13,747.70, 18,971.83 and 7,460.07 is: 10,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747.70 : 18,971.83 = 7,460.07 : x
  2. Step 2: Convert to fraction form
    13,747.70/18,971.83 = 7,460.07/x
  3. Step 3: Cross multiply
    13,747.70x = 18,971.83 × 7,460.07
  4. Step 4: Simplify right side
    13,747.70x = 141,531,189.15
  5. Step 5: Solve for x
    x = 141,531,189.15/13,747.70
  6. Step 6: Final answer
    x = 10,294.90

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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.