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Finding the Fourth Proportional to 16,286.88, 24,419.36 and 7,516.96

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Solution

The fourth proportional to 16,286.88, 24,419.36 and 7,516.96 is: 11,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.88 : 24,419.36 = 7,516.96 : x
  2. Step 2: Convert to fraction form
    16,286.88/24,419.36 = 7,516.96/x
  3. Step 3: Cross multiply
    16,286.88x = 24,419.36 × 7,516.96
  4. Step 4: Simplify right side
    16,286.88x = 183,559,352.35
  5. Step 5: Solve for x
    x = 183,559,352.35/16,286.88
  6. Step 6: Final answer
    x = 11,270.38

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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.