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Finding the Fourth Proportional to 21,090.51, 31,639.67 and 7,049.19

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Solution

The fourth proportional to 21,090.51, 31,639.67 and 7,049.19 is: 10,575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,090.51 : 31,639.67 = 7,049.19 : x
  2. Step 2: Convert to fraction form
    21,090.51/31,639.67 = 7,049.19/x
  3. Step 3: Cross multiply
    21,090.51x = 31,639.67 × 7,049.19
  4. Step 4: Simplify right side
    21,090.51x = 223,034,010.12
  5. Step 5: Solve for x
    x = 223,034,010.12/21,090.51
  6. Step 6: Final answer
    x = 10,575.09

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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.