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Finding the Fourth Proportional to 12,290.14, 18,435.02 and 7,361.14

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Solution

The fourth proportional to 12,290.14, 18,435.02 and 7,361.14 is: 11,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290.14 : 18,435.02 = 7,361.14 : x
  2. Step 2: Convert to fraction form
    12,290.14/18,435.02 = 7,361.14/x
  3. Step 3: Cross multiply
    12,290.14x = 18,435.02 × 7,361.14
  4. Step 4: Simplify right side
    12,290.14x = 135,702,763.12
  5. Step 5: Solve for x
    x = 135,702,763.12/12,290.14
  6. Step 6: Final answer
    x = 11,041.60

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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.