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Finding the Fourth Proportional to 25,194.32, 37,790.08 and 7,662.77

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Solution

The fourth proportional to 25,194.32, 37,790.08 and 7,662.77 is: 11,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,194.32 : 37,790.08 = 7,662.77 : x
  2. Step 2: Convert to fraction form
    25,194.32/37,790.08 = 7,662.77/x
  3. Step 3: Cross multiply
    25,194.32x = 37,790.08 × 7,662.77
  4. Step 4: Simplify right side
    25,194.32x = 289,576,483.21
  5. Step 5: Solve for x
    x = 289,576,483.21/25,194.32
  6. Step 6: Final answer
    x = 11,493.72

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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.