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Finding the Fourth Proportional to 12,864.89, 19,295.01 and 3,857.15

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Solution

The fourth proportional to 12,864.89, 19,295.01 and 3,857.15 is: 5,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.89 : 19,295.01 = 3,857.15 : x
  2. Step 2: Convert to fraction form
    12,864.89/19,295.01 = 3,857.15/x
  3. Step 3: Cross multiply
    12,864.89x = 19,295.01 × 3,857.15
  4. Step 4: Simplify right side
    12,864.89x = 74,423,796.06
  5. Step 5: Solve for x
    x = 74,423,796.06/12,864.89
  6. Step 6: Final answer
    x = 5,785.03

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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.