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Finding the Fourth Proportional to 12,128.96, 18,199.12 and 6,282.38

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Solution

The fourth proportional to 12,128.96, 18,199.12 and 6,282.38 is: 9,426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.96 : 18,199.12 = 6,282.38 : x
  2. Step 2: Convert to fraction form
    12,128.96/18,199.12 = 6,282.38/x
  3. Step 3: Cross multiply
    12,128.96x = 18,199.12 × 6,282.38
  4. Step 4: Simplify right side
    12,128.96x = 114,333,787.51
  5. Step 5: Solve for x
    x = 114,333,787.51/12,128.96
  6. Step 6: Final answer
    x = 9,426.51

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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.