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Finding the Fourth Proportional to 21,051.96, 31,556.82 and 7,191.48

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Solution

The fourth proportional to 21,051.96, 31,556.82 and 7,191.48 is: 10,780.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,051.96 : 31,556.82 = 7,191.48 : x
  2. Step 2: Convert to fraction form
    21,051.96/31,556.82 = 7,191.48/x
  3. Step 3: Cross multiply
    21,051.96x = 31,556.82 × 7,191.48
  4. Step 4: Simplify right side
    21,051.96x = 226,940,239.89
  5. Step 5: Solve for x
    x = 226,940,239.89/21,051.96
  6. Step 6: Final answer
    x = 10,780.01

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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.