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Finding the Fourth Proportional to 25,234.98, 37,859.87 and 7,466.11

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Solution

The fourth proportional to 25,234.98, 37,859.87 and 7,466.11 is: 11,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,234.98 : 37,859.87 = 7,466.11 : x
  2. Step 2: Convert to fraction form
    25,234.98/37,859.87 = 7,466.11/x
  3. Step 3: Cross multiply
    25,234.98x = 37,859.87 × 7,466.11
  4. Step 4: Simplify right side
    25,234.98x = 282,665,954.01
  5. Step 5: Solve for x
    x = 282,665,954.01/25,234.98
  6. Step 6: Final answer
    x = 11,201.35

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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.