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Finding the Fourth Proportional to 12,384.60, 18,576.90 and 7,135.80

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Solution

The fourth proportional to 12,384.60, 18,576.90 and 7,135.80 is: 10,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.60 : 18,576.90 = 7,135.80 : x
  2. Step 2: Convert to fraction form
    12,384.60/18,576.90 = 7,135.80/x
  3. Step 3: Cross multiply
    12,384.60x = 18,576.90 × 7,135.80
  4. Step 4: Simplify right side
    12,384.60x = 132,561,043.02
  5. Step 5: Solve for x
    x = 132,561,043.02/12,384.60
  6. Step 6: Final answer
    x = 10,703.70

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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.