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Finding the Fourth Proportional to 13,643.38, 18,824.74 and 7,672.87

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Solution

The fourth proportional to 13,643.38, 18,824.74 and 7,672.87 is: 10,586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.38 : 18,824.74 = 7,672.87 : x
  2. Step 2: Convert to fraction form
    13,643.38/18,824.74 = 7,672.87/x
  3. Step 3: Cross multiply
    13,643.38x = 18,824.74 × 7,672.87
  4. Step 4: Simplify right side
    13,643.38x = 144,439,688.68
  5. Step 5: Solve for x
    x = 144,439,688.68/13,643.38
  6. Step 6: Final answer
    x = 10,586.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.