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Finding the Fourth Proportional to 13,393.70, 18,483.15 and 7,728.38

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Solution

The fourth proportional to 13,393.70, 18,483.15 and 7,728.38 is: 10,665.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,393.70 : 18,483.15 = 7,728.38 : x
  2. Step 2: Convert to fraction form
    13,393.70/18,483.15 = 7,728.38/x
  3. Step 3: Cross multiply
    13,393.70x = 18,483.15 × 7,728.38
  4. Step 4: Simplify right side
    13,393.70x = 142,844,714.38
  5. Step 5: Solve for x
    x = 142,844,714.38/13,393.70
  6. Step 6: Final answer
    x = 10,665.07

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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.