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Finding the Fourth Proportional to 13,802.89, 20,708.49 and 4,917.06

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Solution

The fourth proportional to 13,802.89, 20,708.49 and 4,917.06 is: 7,377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.89 : 20,708.49 = 4,917.06 : x
  2. Step 2: Convert to fraction form
    13,802.89/20,708.49 = 4,917.06/x
  3. Step 3: Cross multiply
    13,802.89x = 20,708.49 × 4,917.06
  4. Step 4: Simplify right side
    13,802.89x = 101,824,791.74
  5. Step 5: Solve for x
    x = 101,824,791.74/13,802.89
  6. Step 6: Final answer
    x = 7,377.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.