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Finding the Fourth Proportional to 25,051.98, 34,571.64 and 14,296.86

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Solution

The fourth proportional to 25,051.98, 34,571.64 and 14,296.86 is: 19,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,051.98 : 34,571.64 = 14,296.86 : x
  2. Step 2: Convert to fraction form
    25,051.98/34,571.64 = 14,296.86/x
  3. Step 3: Cross multiply
    25,051.98x = 34,571.64 × 14,296.86
  4. Step 4: Simplify right side
    25,051.98x = 494,265,897.05
  5. Step 5: Solve for x
    x = 494,265,897.05/25,051.98
  6. Step 6: Final answer
    x = 19,729.61

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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.