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Finding the Fourth Proportional to 15,638.82, 21,580.76 and 8,563.87

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Solution

The fourth proportional to 15,638.82, 21,580.76 and 8,563.87 is: 11,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.82 : 21,580.76 = 8,563.87 : x
  2. Step 2: Convert to fraction form
    15,638.82/21,580.76 = 8,563.87/x
  3. Step 3: Cross multiply
    15,638.82x = 21,580.76 × 8,563.87
  4. Step 4: Simplify right side
    15,638.82x = 184,814,823.14
  5. Step 5: Solve for x
    x = 184,814,823.14/15,638.82
  6. Step 6: Final answer
    x = 11,817.70

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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.