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Finding the Fourth Proportional to 15,638.37, 21,580.92 and 8,564.78

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Solution

The fourth proportional to 15,638.37, 21,580.92 and 8,564.78 is: 11,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.37 : 21,580.92 = 8,564.78 : x
  2. Step 2: Convert to fraction form
    15,638.37/21,580.92 = 8,564.78/x
  3. Step 3: Cross multiply
    15,638.37x = 21,580.92 × 8,564.78
  4. Step 4: Simplify right side
    15,638.37x = 184,835,832.00
  5. Step 5: Solve for x
    x = 184,835,832.00/15,638.37
  6. Step 6: Final answer
    x = 11,819.38

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Why These Related Problems?

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