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Finding the Fourth Proportional to 25,206.56, 37,811.94 and 7,676.54

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Solution

The fourth proportional to 25,206.56, 37,811.94 and 7,676.54 is: 11,515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206.56 : 37,811.94 = 7,676.54 : x
  2. Step 2: Convert to fraction form
    25,206.56/37,811.94 = 7,676.54/x
  3. Step 3: Cross multiply
    25,206.56x = 37,811.94 × 7,676.54
  4. Step 4: Simplify right side
    25,206.56x = 290,264,869.89
  5. Step 5: Solve for x
    x = 290,264,869.89/25,206.56
  6. Step 6: Final answer
    x = 11,515.45

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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.