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Finding the Fourth Proportional to 13,673.69, 20,510.97 and 4,313.79

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Solution

The fourth proportional to 13,673.69, 20,510.97 and 4,313.79 is: 6,470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.69 : 20,510.97 = 4,313.79 : x
  2. Step 2: Convert to fraction form
    13,673.69/20,510.97 = 4,313.79/x
  3. Step 3: Cross multiply
    13,673.69x = 20,510.97 × 4,313.79
  4. Step 4: Simplify right side
    13,673.69x = 88,480,017.28
  5. Step 5: Solve for x
    x = 88,480,017.28/13,673.69
  6. Step 6: Final answer
    x = 6,470.82

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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.