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Finding the Fourth Proportional to 25,231.80, 37,853.64 and 14,146.14

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Solution

The fourth proportional to 25,231.80, 37,853.64 and 14,146.14 is: 21,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,231.80 : 37,853.64 = 14,146.14 : x
  2. Step 2: Convert to fraction form
    25,231.80/37,853.64 = 14,146.14/x
  3. Step 3: Cross multiply
    25,231.80x = 37,853.64 × 14,146.14
  4. Step 4: Simplify right side
    25,231.80x = 535,482,890.95
  5. Step 5: Solve for x
    x = 535,482,890.95/25,231.80
  6. Step 6: Final answer
    x = 21,222.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.