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Finding the Fourth Proportional to 25,648.63, 38,475.10 and 7,180.63

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Solution

The fourth proportional to 25,648.63, 38,475.10 and 7,180.63 is: 10,771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,648.63 : 38,475.10 = 7,180.63 : x
  2. Step 2: Convert to fraction form
    25,648.63/38,475.10 = 7,180.63/x
  3. Step 3: Cross multiply
    25,648.63x = 38,475.10 × 7,180.63
  4. Step 4: Simplify right side
    25,648.63x = 276,275,264.94
  5. Step 5: Solve for x
    x = 276,275,264.94/25,648.63
  6. Step 6: Final answer
    x = 10,771.54

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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.