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Finding the Fourth Proportional to 12,964.60, 19,446.90 and 12,196.60

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Solution

The fourth proportional to 12,964.60, 19,446.90 and 12,196.60 is: 18,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.60 : 19,446.90 = 12,196.60 : x
  2. Step 2: Convert to fraction form
    12,964.60/19,446.90 = 12,196.60/x
  3. Step 3: Cross multiply
    12,964.60x = 19,446.90 × 12,196.60
  4. Step 4: Simplify right side
    12,964.60x = 237,186,060.54
  5. Step 5: Solve for x
    x = 237,186,060.54/12,964.60
  6. Step 6: Final answer
    x = 18,294.90

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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.