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Finding the Fourth Proportional to 10,872, 14,890.94 and 10,233.67

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Solution

The fourth proportional to 10,872, 14,890.94 and 10,233.67 is: 14,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872 : 14,890.94 = 10,233.67 : x
  2. Step 2: Convert to fraction form
    10,872/14,890.94 = 10,233.67/x
  3. Step 3: Cross multiply
    10,872x = 14,890.94 × 10,233.67
  4. Step 4: Simplify right side
    10,872x = 152,388,915.93
  5. Step 5: Solve for x
    x = 152,388,915.93/10,872
  6. Step 6: Final answer
    x = 14,016.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.