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Finding the Fourth Proportional to 13,384.81, 18,469.14 and 7,718.72

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Solution

The fourth proportional to 13,384.81, 18,469.14 and 7,718.72 is: 10,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.81 : 18,469.14 = 7,718.72 : x
  2. Step 2: Convert to fraction form
    13,384.81/18,469.14 = 7,718.72/x
  3. Step 3: Cross multiply
    13,384.81x = 18,469.14 × 7,718.72
  4. Step 4: Simplify right side
    13,384.81x = 142,558,120.30
  5. Step 5: Solve for x
    x = 142,558,120.30/13,384.81
  6. Step 6: Final answer
    x = 10,650.74

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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.