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Finding the Fourth Proportional to 25,255.96, 37,875.69 and 8,384.44

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Solution

The fourth proportional to 25,255.96, 37,875.69 and 8,384.44 is: 12,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,255.96 : 37,875.69 = 8,384.44 : x
  2. Step 2: Convert to fraction form
    25,255.96/37,875.69 = 8,384.44/x
  3. Step 3: Cross multiply
    25,255.96x = 37,875.69 × 8,384.44
  4. Step 4: Simplify right side
    25,255.96x = 317,566,450.26
  5. Step 5: Solve for x
    x = 317,566,450.26/25,255.96
  6. Step 6: Final answer
    x = 12,573.92

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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.