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Finding the Fourth Proportional to 21,239.72, 31,857.54 and 6,448.77

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Solution

The fourth proportional to 21,239.72, 31,857.54 and 6,448.77 is: 9,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,239.72 : 31,857.54 = 6,448.77 : x
  2. Step 2: Convert to fraction form
    21,239.72/31,857.54 = 6,448.77/x
  3. Step 3: Cross multiply
    21,239.72x = 31,857.54 × 6,448.77
  4. Step 4: Simplify right side
    21,239.72x = 205,441,924.04
  5. Step 5: Solve for x
    x = 205,441,924.04/21,239.72
  6. Step 6: Final answer
    x = 9,672.54

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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.