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Finding the Fourth Proportional to 13,417.23, 18,514.84 and 7,448.43

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Solution

The fourth proportional to 13,417.23, 18,514.84 and 7,448.43 is: 10,278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417.23 : 18,514.84 = 7,448.43 : x
  2. Step 2: Convert to fraction form
    13,417.23/18,514.84 = 7,448.43/x
  3. Step 3: Cross multiply
    13,417.23x = 18,514.84 × 7,448.43
  4. Step 4: Simplify right side
    13,417.23x = 137,906,489.70
  5. Step 5: Solve for x
    x = 137,906,489.70/13,417.23
  6. Step 6: Final answer
    x = 10,278.31

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