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Finding the Fourth Proportional to 19,971.60, 29,899.80 and 12,195.60

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Solution

The fourth proportional to 19,971.60, 29,899.80 and 12,195.60 is: 18,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,971.60 : 29,899.80 = 12,195.60 : x
  2. Step 2: Convert to fraction form
    19,971.60/29,899.80 = 12,195.60/x
  3. Step 3: Cross multiply
    19,971.60x = 29,899.80 × 12,195.60
  4. Step 4: Simplify right side
    19,971.60x = 364,646,000.88
  5. Step 5: Solve for x
    x = 364,646,000.88/19,971.60
  6. Step 6: Final answer
    x = 18,258.23

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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.