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Finding the Fourth Proportional to 13,382.91, 18,470.99 and 7,721.31

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Solution

The fourth proportional to 13,382.91, 18,470.99 and 7,721.31 is: 10,656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.91 : 18,470.99 = 7,721.31 : x
  2. Step 2: Convert to fraction form
    13,382.91/18,470.99 = 7,721.31/x
  3. Step 3: Cross multiply
    13,382.91x = 18,470.99 × 7,721.31
  4. Step 4: Simplify right side
    13,382.91x = 142,620,328.37
  5. Step 5: Solve for x
    x = 142,620,328.37/13,382.91
  6. Step 6: Final answer
    x = 10,656.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.