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Finding the Fourth Proportional to 16,586.56, 24,896.16 and 13,830.88

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Solution

The fourth proportional to 16,586.56, 24,896.16 and 13,830.88 is: 20,759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.56 : 24,896.16 = 13,830.88 : x
  2. Step 2: Convert to fraction form
    16,586.56/24,896.16 = 13,830.88/x
  3. Step 3: Cross multiply
    16,586.56x = 24,896.16 × 13,830.88
  4. Step 4: Simplify right side
    16,586.56x = 344,335,801.42
  5. Step 5: Solve for x
    x = 344,335,801.42/16,586.56
  6. Step 6: Final answer
    x = 20,759.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.