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Finding the Fourth Proportional to 13,403.48, 18,454.74 and 11,382.68

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Solution

The fourth proportional to 13,403.48, 18,454.74 and 11,382.68 is: 15,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.48 : 18,454.74 = 11,382.68 : x
  2. Step 2: Convert to fraction form
    13,403.48/18,454.74 = 11,382.68/x
  3. Step 3: Cross multiply
    13,403.48x = 18,454.74 × 11,382.68
  4. Step 4: Simplify right side
    13,403.48x = 210,064,299.55
  5. Step 5: Solve for x
    x = 210,064,299.55/13,403.48
  6. Step 6: Final answer
    x = 15,672.38

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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.