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Finding the Fourth Proportional to 14,562.26, 21,828.23 and 9,882.64

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Solution

The fourth proportional to 14,562.26, 21,828.23 and 9,882.64 is: 14,813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.26 : 21,828.23 = 9,882.64 : x
  2. Step 2: Convert to fraction form
    14,562.26/21,828.23 = 9,882.64/x
  3. Step 3: Cross multiply
    14,562.26x = 21,828.23 × 9,882.64
  4. Step 4: Simplify right side
    14,562.26x = 215,720,553.86
  5. Step 5: Solve for x
    x = 215,720,553.86/14,562.26
  6. Step 6: Final answer
    x = 14,813.67

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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.