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Finding the Fourth Proportional to 15,638.50, 21,581.13 and 8,565.18

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Solution

The fourth proportional to 15,638.50, 21,581.13 and 8,565.18 is: 11,819.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.50 : 21,581.13 = 8,565.18 : x
  2. Step 2: Convert to fraction form
    15,638.50/21,581.13 = 8,565.18/x
  3. Step 3: Cross multiply
    15,638.50x = 21,581.13 × 8,565.18
  4. Step 4: Simplify right side
    15,638.50x = 184,846,263.05
  5. Step 5: Solve for x
    x = 184,846,263.05/15,638.50
  6. Step 6: Final answer
    x = 11,819.95

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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.