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Finding the Fourth Proportional to 25,175.28, 37,762.74 and 6,455.28

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Solution

The fourth proportional to 25,175.28, 37,762.74 and 6,455.28 is: 9,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,175.28 : 37,762.74 = 6,455.28 : x
  2. Step 2: Convert to fraction form
    25,175.28/37,762.74 = 6,455.28/x
  3. Step 3: Cross multiply
    25,175.28x = 37,762.74 × 6,455.28
  4. Step 4: Simplify right side
    25,175.28x = 243,769,060.27
  5. Step 5: Solve for x
    x = 243,769,060.27/25,175.28
  6. Step 6: Final answer
    x = 9,682.87

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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.