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Finding the Fourth Proportional to 15,586, 21,509.16 and 8,962

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Solution

The fourth proportional to 15,586, 21,509.16 and 8,962 is: 12,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586 : 21,509.16 = 8,962 : x
  2. Step 2: Convert to fraction form
    15,586/21,509.16 = 8,962/x
  3. Step 3: Cross multiply
    15,586x = 21,509.16 × 8,962
  4. Step 4: Simplify right side
    15,586x = 192,765,091.92
  5. Step 5: Solve for x
    x = 192,765,091.92/15,586
  6. Step 6: Final answer
    x = 12,367.84

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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.