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Finding the Fourth Proportional to 12,429.70, 18,644.55 and 10,096.90

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Solution

The fourth proportional to 12,429.70, 18,644.55 and 10,096.90 is: 15,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.70 : 18,644.55 = 10,096.90 : x
  2. Step 2: Convert to fraction form
    12,429.70/18,644.55 = 10,096.90/x
  3. Step 3: Cross multiply
    12,429.70x = 18,644.55 × 10,096.90
  4. Step 4: Simplify right side
    12,429.70x = 188,252,156.90
  5. Step 5: Solve for x
    x = 188,252,156.90/12,429.70
  6. Step 6: Final answer
    x = 15,145.35

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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.