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Finding the Fourth Proportional to 12,096.53, 16,679.72 and 7,614.80

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Solution

The fourth proportional to 12,096.53, 16,679.72 and 7,614.80 is: 10,499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.53 : 16,679.72 = 7,614.80 : x
  2. Step 2: Convert to fraction form
    12,096.53/16,679.72 = 7,614.80/x
  3. Step 3: Cross multiply
    12,096.53x = 16,679.72 × 7,614.80
  4. Step 4: Simplify right side
    12,096.53x = 127,012,731.86
  5. Step 5: Solve for x
    x = 127,012,731.86/12,096.53
  6. Step 6: Final answer
    x = 10,499.93

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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.