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Finding the Fourth Proportional to 25,841.40, 38,762.10 and 7,121.40

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Solution

The fourth proportional to 25,841.40, 38,762.10 and 7,121.40 is: 10,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,841.40 : 38,762.10 = 7,121.40 : x
  2. Step 2: Convert to fraction form
    25,841.40/38,762.10 = 7,121.40/x
  3. Step 3: Cross multiply
    25,841.40x = 38,762.10 × 7,121.40
  4. Step 4: Simplify right side
    25,841.40x = 276,040,418.94
  5. Step 5: Solve for x
    x = 276,040,418.94/25,841.40
  6. Step 6: Final answer
    x = 10,682.10

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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.