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Finding the Fourth Proportional to 12,346.40, 18,517.80 and 3,580.40

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Solution

The fourth proportional to 12,346.40, 18,517.80 and 3,580.40 is: 5,370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.40 : 18,517.80 = 3,580.40 : x
  2. Step 2: Convert to fraction form
    12,346.40/18,517.80 = 3,580.40/x
  3. Step 3: Cross multiply
    12,346.40x = 18,517.80 × 3,580.40
  4. Step 4: Simplify right side
    12,346.40x = 66,301,131.12
  5. Step 5: Solve for x
    x = 66,301,131.12/12,346.40
  6. Step 6: Final answer
    x = 5,370.08

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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.