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Finding the Fourth Proportional to 16,381.40, 22,627.23 and 13,742.42

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Solution

The fourth proportional to 16,381.40, 22,627.23 and 13,742.42 is: 18,982.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.40 : 22,627.23 = 13,742.42 : x
  2. Step 2: Convert to fraction form
    16,381.40/22,627.23 = 13,742.42/x
  3. Step 3: Cross multiply
    16,381.40x = 22,627.23 × 13,742.42
  4. Step 4: Simplify right side
    16,381.40x = 310,952,898.10
  5. Step 5: Solve for x
    x = 310,952,898.10/16,381.40
  6. Step 6: Final answer
    x = 18,982.07

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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.