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Finding the Fourth Proportional to 25,266.40, 37,899.72 and 7,736.20

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Solution

The fourth proportional to 25,266.40, 37,899.72 and 7,736.20 is: 11,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,266.40 : 37,899.72 = 7,736.20 : x
  2. Step 2: Convert to fraction form
    25,266.40/37,899.72 = 7,736.20/x
  3. Step 3: Cross multiply
    25,266.40x = 37,899.72 × 7,736.20
  4. Step 4: Simplify right side
    25,266.40x = 293,199,813.86
  5. Step 5: Solve for x
    x = 293,199,813.86/25,266.40
  6. Step 6: Final answer
    x = 11,604.34

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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.