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Finding the Fourth Proportional to 13,747.60, 18,971.73 and 7,459.97

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Solution

The fourth proportional to 13,747.60, 18,971.73 and 7,459.97 is: 10,294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747.60 : 18,971.73 = 7,459.97 : x
  2. Step 2: Convert to fraction form
    13,747.60/18,971.73 = 7,459.97/x
  3. Step 3: Cross multiply
    13,747.60x = 18,971.73 × 7,459.97
  4. Step 4: Simplify right side
    13,747.60x = 141,528,536.65
  5. Step 5: Solve for x
    x = 141,528,536.65/13,747.60
  6. Step 6: Final answer
    x = 10,294.79

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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.