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Finding the Fourth Proportional to 15,638.40, 21,581.96 and 8,564.81

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Solution

The fourth proportional to 15,638.40, 21,581.96 and 8,564.81 is: 11,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.40 : 21,581.96 = 8,564.81 : x
  2. Step 2: Convert to fraction form
    15,638.40/21,581.96 = 8,564.81/x
  3. Step 3: Cross multiply
    15,638.40x = 21,581.96 × 8,564.81
  4. Step 4: Simplify right side
    15,638.40x = 184,845,236.09
  5. Step 5: Solve for x
    x = 184,845,236.09/15,638.40
  6. Step 6: Final answer
    x = 11,819.96

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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.