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Finding the Fourth Proportional to 25,287.57, 37,938.69 and 7,759.98

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Solution

The fourth proportional to 25,287.57, 37,938.69 and 7,759.98 is: 11,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,287.57 : 37,938.69 = 7,759.98 : x
  2. Step 2: Convert to fraction form
    25,287.57/37,938.69 = 7,759.98/x
  3. Step 3: Cross multiply
    25,287.57x = 37,938.69 × 7,759.98
  4. Step 4: Simplify right side
    25,287.57x = 294,403,475.63
  5. Step 5: Solve for x
    x = 294,403,475.63/25,287.57
  6. Step 6: Final answer
    x = 11,642.22

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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.