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Finding the Fourth Proportional to 13,357.80, 18,433.89 and 7,389.36

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Solution

The fourth proportional to 13,357.80, 18,433.89 and 7,389.36 is: 10,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.80 : 18,433.89 = 7,389.36 : x
  2. Step 2: Convert to fraction form
    13,357.80/18,433.89 = 7,389.36/x
  3. Step 3: Cross multiply
    13,357.80x = 18,433.89 × 7,389.36
  4. Step 4: Simplify right side
    13,357.80x = 136,214,649.41
  5. Step 5: Solve for x
    x = 136,214,649.41/13,357.80
  6. Step 6: Final answer
    x = 10,197.39

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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.