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Finding the Fourth Proportional to 25,524.66, 35,222.94 and 14,194.92

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Solution

The fourth proportional to 25,524.66, 35,222.94 and 14,194.92 is: 19,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,524.66 : 35,222.94 = 14,194.92 : x
  2. Step 2: Convert to fraction form
    25,524.66/35,222.94 = 14,194.92/x
  3. Step 3: Cross multiply
    25,524.66x = 35,222.94 × 14,194.92
  4. Step 4: Simplify right side
    25,524.66x = 499,986,815.46
  5. Step 5: Solve for x
    x = 499,986,815.46/25,524.66
  6. Step 6: Final answer
    x = 19,588.38

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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.