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Finding the Fourth Proportional to 13,586.64, 18,749.34 and 7,618.30

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Solution

The fourth proportional to 13,586.64, 18,749.34 and 7,618.30 is: 10,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.64 : 18,749.34 = 7,618.30 : x
  2. Step 2: Convert to fraction form
    13,586.64/18,749.34 = 7,618.30/x
  3. Step 3: Cross multiply
    13,586.64x = 18,749.34 × 7,618.30
  4. Step 4: Simplify right side
    13,586.64x = 142,838,096.92
  5. Step 5: Solve for x
    x = 142,838,096.92/13,586.64
  6. Step 6: Final answer
    x = 10,513.13

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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.