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Finding the Fourth Proportional to 25,243.98, 37,866.18 and 7,714.14

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Solution

The fourth proportional to 25,243.98, 37,866.18 and 7,714.14 is: 11,571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,243.98 : 37,866.18 = 7,714.14 : x
  2. Step 2: Convert to fraction form
    25,243.98/37,866.18 = 7,714.14/x
  3. Step 3: Cross multiply
    25,243.98x = 37,866.18 × 7,714.14
  4. Step 4: Simplify right side
    25,243.98x = 292,105,013.79
  5. Step 5: Solve for x
    x = 292,105,013.79/25,243.98
  6. Step 6: Final answer
    x = 11,571.27

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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.