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Finding the Fourth Proportional to 21,041, 31,561.74 and 5,457.68

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Solution

The fourth proportional to 21,041, 31,561.74 and 5,457.68 is: 8,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,041 : 31,561.74 = 5,457.68 : x
  2. Step 2: Convert to fraction form
    21,041/31,561.74 = 5,457.68/x
  3. Step 3: Cross multiply
    21,041x = 31,561.74 × 5,457.68
  4. Step 4: Simplify right side
    21,041x = 172,253,877.16
  5. Step 5: Solve for x
    x = 172,253,877.16/21,041
  6. Step 6: Final answer
    x = 8,186.58

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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.