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Finding the Fourth Proportional to 21,259.82, 31,888.44 and 7,930.25

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Solution

The fourth proportional to 21,259.82, 31,888.44 and 7,930.25 is: 11,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,259.82 : 31,888.44 = 7,930.25 : x
  2. Step 2: Convert to fraction form
    21,259.82/31,888.44 = 7,930.25/x
  3. Step 3: Cross multiply
    21,259.82x = 31,888.44 × 7,930.25
  4. Step 4: Simplify right side
    21,259.82x = 252,883,141.87
  5. Step 5: Solve for x
    x = 252,883,141.87/21,259.82
  6. Step 6: Final answer
    x = 11,894.89

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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.