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Finding the Fourth Proportional to 13,674.05, 18,870.18 and 7,386.42

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Solution

The fourth proportional to 13,674.05, 18,870.18 and 7,386.42 is: 10,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.05 : 18,870.18 = 7,386.42 : x
  2. Step 2: Convert to fraction form
    13,674.05/18,870.18 = 7,386.42/x
  3. Step 3: Cross multiply
    13,674.05x = 18,870.18 × 7,386.42
  4. Step 4: Simplify right side
    13,674.05x = 139,383,074.96
  5. Step 5: Solve for x
    x = 139,383,074.96/13,674.05
  6. Step 6: Final answer
    x = 10,193.26

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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.