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Finding the Fourth Proportional to 25,326.42, 34,950.47 and 14,148.42

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Solution

The fourth proportional to 25,326.42, 34,950.47 and 14,148.42 is: 19,524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,326.42 : 34,950.47 = 14,148.42 : x
  2. Step 2: Convert to fraction form
    25,326.42/34,950.47 = 14,148.42/x
  3. Step 3: Cross multiply
    25,326.42x = 34,950.47 × 14,148.42
  4. Step 4: Simplify right side
    25,326.42x = 494,494,003.13
  5. Step 5: Solve for x
    x = 494,494,003.13/25,326.42
  6. Step 6: Final answer
    x = 19,524.83

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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.