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Finding the Fourth Proportional to 15,638.32, 21,580.88 and 8,564.76

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Solution

The fourth proportional to 15,638.32, 21,580.88 and 8,564.76 is: 11,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.32 : 21,580.88 = 8,564.76 : x
  2. Step 2: Convert to fraction form
    15,638.32/21,580.88 = 8,564.76/x
  3. Step 3: Cross multiply
    15,638.32x = 21,580.88 × 8,564.76
  4. Step 4: Simplify right side
    15,638.32x = 184,835,057.79
  5. Step 5: Solve for x
    x = 184,835,057.79/15,638.32
  6. Step 6: Final answer
    x = 11,819.37

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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.