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Finding the Fourth Proportional to 15,813.56, 23,722.90 and 4,867

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Solution

The fourth proportional to 15,813.56, 23,722.90 and 4,867 is: 7,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.56 : 23,722.90 = 4,867 : x
  2. Step 2: Convert to fraction form
    15,813.56/23,722.90 = 4,867/x
  3. Step 3: Cross multiply
    15,813.56x = 23,722.90 × 4,867
  4. Step 4: Simplify right side
    15,813.56x = 115,459,354.30
  5. Step 5: Solve for x
    x = 115,459,354.30/15,813.56
  6. Step 6: Final answer
    x = 7,301.29

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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.