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Finding the Fourth Proportional to 12,358.20, 18,537.30 and 7,980.60

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Solution

The fourth proportional to 12,358.20, 18,537.30 and 7,980.60 is: 11,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.20 : 18,537.30 = 7,980.60 : x
  2. Step 2: Convert to fraction form
    12,358.20/18,537.30 = 7,980.60/x
  3. Step 3: Cross multiply
    12,358.20x = 18,537.30 × 7,980.60
  4. Step 4: Simplify right side
    12,358.20x = 147,938,776.38
  5. Step 5: Solve for x
    x = 147,938,776.38/12,358.20
  6. Step 6: Final answer
    x = 11,970.90

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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.