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Finding the Fourth Proportional to 25,146.75, 37,721.94 and 7,617.94

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Solution

The fourth proportional to 25,146.75, 37,721.94 and 7,617.94 is: 11,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146.75 : 37,721.94 = 7,617.94 : x
  2. Step 2: Convert to fraction form
    25,146.75/37,721.94 = 7,617.94/x
  3. Step 3: Cross multiply
    25,146.75x = 37,721.94 × 7,617.94
  4. Step 4: Simplify right side
    25,146.75x = 287,363,475.60
  5. Step 5: Solve for x
    x = 287,363,475.60/25,146.75
  6. Step 6: Final answer
    x = 11,427.46

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Why These Related Problems?

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