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Finding the Fourth Proportional to 12,580.21, 18,869.10 and 3,815.20

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Solution

The fourth proportional to 12,580.21, 18,869.10 and 3,815.20 is: 5,722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.21 : 18,869.10 = 3,815.20 : x
  2. Step 2: Convert to fraction form
    12,580.21/18,869.10 = 3,815.20/x
  3. Step 3: Cross multiply
    12,580.21x = 18,869.10 × 3,815.20
  4. Step 4: Simplify right side
    12,580.21x = 71,989,421.06
  5. Step 5: Solve for x
    x = 71,989,421.06/12,580.21
  6. Step 6: Final answer
    x = 5,722.43

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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.