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Finding the Fourth Proportional to 38,676.50, 58,014.80 and 10,596.80

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Solution

The fourth proportional to 38,676.50, 58,014.80 and 10,596.80 is: 15,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,676.50 : 58,014.80 = 10,596.80 : x
  2. Step 2: Convert to fraction form
    38,676.50/58,014.80 = 10,596.80/x
  3. Step 3: Cross multiply
    38,676.50x = 58,014.80 × 10,596.80
  4. Step 4: Simplify right side
    38,676.50x = 614,771,232.64
  5. Step 5: Solve for x
    x = 614,771,232.64/38,676.50
  6. Step 6: Final answer
    x = 15,895.21

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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.