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Finding the Fourth Proportional to 14,458.15, 21,687.38 and 5,096.42

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Solution

The fourth proportional to 14,458.15, 21,687.38 and 5,096.42 is: 7,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.15 : 21,687.38 = 5,096.42 : x
  2. Step 2: Convert to fraction form
    14,458.15/21,687.38 = 5,096.42/x
  3. Step 3: Cross multiply
    14,458.15x = 21,687.38 × 5,096.42
  4. Step 4: Simplify right side
    14,458.15x = 110,527,971.70
  5. Step 5: Solve for x
    x = 110,527,971.70/14,458.15
  6. Step 6: Final answer
    x = 7,644.68

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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.