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Finding the Fourth Proportional to 18,254.49, 27,381.74 and 7,166.40

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Solution

The fourth proportional to 18,254.49, 27,381.74 and 7,166.40 is: 10,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,254.49 : 27,381.74 = 7,166.40 : x
  2. Step 2: Convert to fraction form
    18,254.49/27,381.74 = 7,166.40/x
  3. Step 3: Cross multiply
    18,254.49x = 27,381.74 × 7,166.40
  4. Step 4: Simplify right side
    18,254.49x = 196,228,465.70
  5. Step 5: Solve for x
    x = 196,228,465.70/18,254.49
  6. Step 6: Final answer
    x = 10,749.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.