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Finding the Fourth Proportional to 13,747.54, 18,971.05 and 7,459.78

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Solution

The fourth proportional to 13,747.54, 18,971.05 and 7,459.78 is: 10,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747.54 : 18,971.05 = 7,459.78 : x
  2. Step 2: Convert to fraction form
    13,747.54/18,971.05 = 7,459.78/x
  3. Step 3: Cross multiply
    13,747.54x = 18,971.05 × 7,459.78
  4. Step 4: Simplify right side
    13,747.54x = 141,519,859.37
  5. Step 5: Solve for x
    x = 141,519,859.37/13,747.54
  6. Step 6: Final answer
    x = 10,294.20

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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.