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Finding the Fourth Proportional to 22,470.69, 31,019.49 and 14,516.79

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Solution

The fourth proportional to 22,470.69, 31,019.49 and 14,516.79 is: 20,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.69 : 31,019.49 = 14,516.79 : x
  2. Step 2: Convert to fraction form
    22,470.69/31,019.49 = 14,516.79/x
  3. Step 3: Cross multiply
    22,470.69x = 31,019.49 × 14,516.79
  4. Step 4: Simplify right side
    22,470.69x = 450,303,422.24
  5. Step 5: Solve for x
    x = 450,303,422.24/22,470.69
  6. Step 6: Final answer
    x = 20,039.59

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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.