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Finding the Fourth Proportional to 15,638.22, 21,581.10 and 8,564.58

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Solution

The fourth proportional to 15,638.22, 21,581.10 and 8,564.58 is: 11,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.22 : 21,581.10 = 8,564.58 : x
  2. Step 2: Convert to fraction form
    15,638.22/21,581.10 = 8,564.58/x
  3. Step 3: Cross multiply
    15,638.22x = 21,581.10 × 8,564.58
  4. Step 4: Simplify right side
    15,638.22x = 184,833,057.44
  5. Step 5: Solve for x
    x = 184,833,057.44/15,638.22
  6. Step 6: Final answer
    x = 11,819.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.