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Finding the Fourth Proportional to 13,586.49, 18,749.40 and 7,618.14

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Solution

The fourth proportional to 13,586.49, 18,749.40 and 7,618.14 is: 10,513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.49 : 18,749.40 = 7,618.14 : x
  2. Step 2: Convert to fraction form
    13,586.49/18,749.40 = 7,618.14/x
  3. Step 3: Cross multiply
    13,586.49x = 18,749.40 × 7,618.14
  4. Step 4: Simplify right side
    13,586.49x = 142,835,554.12
  5. Step 5: Solve for x
    x = 142,835,554.12/13,586.49
  6. Step 6: Final answer
    x = 10,513.06

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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.