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Finding the Fourth Proportional to 12,202.90, 18,304.35 and 8,047.60

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Solution

The fourth proportional to 12,202.90, 18,304.35 and 8,047.60 is: 12,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.90 : 18,304.35 = 8,047.60 : x
  2. Step 2: Convert to fraction form
    12,202.90/18,304.35 = 8,047.60/x
  3. Step 3: Cross multiply
    12,202.90x = 18,304.35 × 8,047.60
  4. Step 4: Simplify right side
    12,202.90x = 147,306,087.06
  5. Step 5: Solve for x
    x = 147,306,087.06/12,202.90
  6. Step 6: Final answer
    x = 12,071.40

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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.