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Finding the Fourth Proportional to 18,414.51, 25,403.94 and 12,444

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Solution

The fourth proportional to 18,414.51, 25,403.94 and 12,444 is: 17,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,414.51 : 25,403.94 = 12,444 : x
  2. Step 2: Convert to fraction form
    18,414.51/25,403.94 = 12,444/x
  3. Step 3: Cross multiply
    18,414.51x = 25,403.94 × 12,444
  4. Step 4: Simplify right side
    18,414.51x = 316,126,629.36
  5. Step 5: Solve for x
    x = 316,126,629.36/18,414.51
  6. Step 6: Final answer
    x = 17,167.26

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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.