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Finding the Fourth Proportional to 13,507.09, 18,617.48 and 9,029.21

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Solution

The fourth proportional to 13,507.09, 18,617.48 and 9,029.21 is: 12,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.09 : 18,617.48 = 9,029.21 : x
  2. Step 2: Convert to fraction form
    13,507.09/18,617.48 = 9,029.21/x
  3. Step 3: Cross multiply
    13,507.09x = 18,617.48 × 9,029.21
  4. Step 4: Simplify right side
    13,507.09x = 168,100,998.36
  5. Step 5: Solve for x
    x = 168,100,998.36/13,507.09
  6. Step 6: Final answer
    x = 12,445.39

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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.