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Finding the Fourth Proportional to 13,642.43, 18,827.37 and 7,674.48

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Solution

The fourth proportional to 13,642.43, 18,827.37 and 7,674.48 is: 10,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.43 : 18,827.37 = 7,674.48 : x
  2. Step 2: Convert to fraction form
    13,642.43/18,827.37 = 7,674.48/x
  3. Step 3: Cross multiply
    13,642.43x = 18,827.37 × 7,674.48
  4. Step 4: Simplify right side
    13,642.43x = 144,490,274.52
  5. Step 5: Solve for x
    x = 144,490,274.52/13,642.43
  6. Step 6: Final answer
    x = 10,591.25

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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.