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Finding the Fourth Proportional to 22,470.27, 31,008.73 and 12,399.14

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Solution

The fourth proportional to 22,470.27, 31,008.73 and 12,399.14 is: 17,110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.27 : 31,008.73 = 12,399.14 : x
  2. Step 2: Convert to fraction form
    22,470.27/31,008.73 = 12,399.14/x
  3. Step 3: Cross multiply
    22,470.27x = 31,008.73 × 12,399.14
  4. Step 4: Simplify right side
    22,470.27x = 384,481,421.70
  5. Step 5: Solve for x
    x = 384,481,421.70/22,470.27
  6. Step 6: Final answer
    x = 17,110.67

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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.