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Finding the Fourth Proportional to 18,723.74, 25,838.22 and 12,342.56

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Solution

The fourth proportional to 18,723.74, 25,838.22 and 12,342.56 is: 17,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,723.74 : 25,838.22 = 12,342.56 : x
  2. Step 2: Convert to fraction form
    18,723.74/25,838.22 = 12,342.56/x
  3. Step 3: Cross multiply
    18,723.74x = 25,838.22 × 12,342.56
  4. Step 4: Simplify right side
    18,723.74x = 318,909,780.64
  5. Step 5: Solve for x
    x = 318,909,780.64/18,723.74
  6. Step 6: Final answer
    x = 17,032.38

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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.