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Finding the Fourth Proportional to 25,206.95, 37,805.82 and 7,433.93

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Solution

The fourth proportional to 25,206.95, 37,805.82 and 7,433.93 is: 11,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206.95 : 37,805.82 = 7,433.93 : x
  2. Step 2: Convert to fraction form
    25,206.95/37,805.82 = 7,433.93/x
  3. Step 3: Cross multiply
    25,206.95x = 37,805.82 × 7,433.93
  4. Step 4: Simplify right side
    25,206.95x = 281,045,630.44
  5. Step 5: Solve for x
    x = 281,045,630.44/25,206.95
  6. Step 6: Final answer
    x = 11,149.53

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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.