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Finding the Fourth Proportional to 12,202.79, 16,828.98 and 9,514.67

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Solution

The fourth proportional to 12,202.79, 16,828.98 and 9,514.67 is: 13,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.79 : 16,828.98 = 9,514.67 : x
  2. Step 2: Convert to fraction form
    12,202.79/16,828.98 = 9,514.67/x
  3. Step 3: Cross multiply
    12,202.79x = 16,828.98 × 9,514.67
  4. Step 4: Simplify right side
    12,202.79x = 160,122,191.14
  5. Step 5: Solve for x
    x = 160,122,191.14/12,202.79
  6. Step 6: Final answer
    x = 13,121.77

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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.