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Finding the Fourth Proportional to 21,007.36, 31,494.03 and 7,857.82

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Solution

The fourth proportional to 21,007.36, 31,494.03 and 7,857.82 is: 11,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.36 : 31,494.03 = 7,857.82 : x
  2. Step 2: Convert to fraction form
    21,007.36/31,494.03 = 7,857.82/x
  3. Step 3: Cross multiply
    21,007.36x = 31,494.03 × 7,857.82
  4. Step 4: Simplify right side
    21,007.36x = 247,474,418.81
  5. Step 5: Solve for x
    x = 247,474,418.81/21,007.36
  6. Step 6: Final answer
    x = 11,780.37

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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.