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Finding the Fourth Proportional to 12,823.88, 19,226.16 and 8,652.20

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Solution

The fourth proportional to 12,823.88, 19,226.16 and 8,652.20 is: 12,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.88 : 19,226.16 = 8,652.20 : x
  2. Step 2: Convert to fraction form
    12,823.88/19,226.16 = 8,652.20/x
  3. Step 3: Cross multiply
    12,823.88x = 19,226.16 × 8,652.20
  4. Step 4: Simplify right side
    12,823.88x = 166,348,581.55
  5. Step 5: Solve for x
    x = 166,348,581.55/12,823.88
  6. Step 6: Final answer
    x = 12,971.78

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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.