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Finding the Fourth Proportional to 12,900.32, 19,349.94 and 4,135.04

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Solution

The fourth proportional to 12,900.32, 19,349.94 and 4,135.04 is: 6,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.32 : 19,349.94 = 4,135.04 : x
  2. Step 2: Convert to fraction form
    12,900.32/19,349.94 = 4,135.04/x
  3. Step 3: Cross multiply
    12,900.32x = 19,349.94 × 4,135.04
  4. Step 4: Simplify right side
    12,900.32x = 80,012,775.90
  5. Step 5: Solve for x
    x = 80,012,775.90/12,900.32
  6. Step 6: Final answer
    x = 6,202.39

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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.