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Finding the Fourth Proportional to 12,270.36, 18,406.14 and 3,506.58

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Solution

The fourth proportional to 12,270.36, 18,406.14 and 3,506.58 is: 5,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.36 : 18,406.14 = 3,506.58 : x
  2. Step 2: Convert to fraction form
    12,270.36/18,406.14 = 3,506.58/x
  3. Step 3: Cross multiply
    12,270.36x = 18,406.14 × 3,506.58
  4. Step 4: Simplify right side
    12,270.36x = 64,542,602.40
  5. Step 5: Solve for x
    x = 64,542,602.40/12,270.36
  6. Step 6: Final answer
    x = 5,260.04

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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.