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Finding the Fourth Proportional to 25,141.70, 37,714.44 and 7,612.94

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Solution

The fourth proportional to 25,141.70, 37,714.44 and 7,612.94 is: 11,419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,141.70 : 37,714.44 = 7,612.94 : x
  2. Step 2: Convert to fraction form
    25,141.70/37,714.44 = 7,612.94/x
  3. Step 3: Cross multiply
    25,141.70x = 37,714.44 × 7,612.94
  4. Step 4: Simplify right side
    25,141.70x = 287,117,768.85
  5. Step 5: Solve for x
    x = 287,117,768.85/25,141.70
  6. Step 6: Final answer
    x = 11,419.98

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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.