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Finding the Fourth Proportional to 25,201.15, 37,794.97 and 7,666.27

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Solution

The fourth proportional to 25,201.15, 37,794.97 and 7,666.27 is: 11,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,201.15 : 37,794.97 = 7,666.27 : x
  2. Step 2: Convert to fraction form
    25,201.15/37,794.97 = 7,666.27/x
  3. Step 3: Cross multiply
    25,201.15x = 37,794.97 × 7,666.27
  4. Step 4: Simplify right side
    25,201.15x = 289,746,444.66
  5. Step 5: Solve for x
    x = 289,746,444.66/25,201.15
  6. Step 6: Final answer
    x = 11,497.35

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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.