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Finding the Fourth Proportional to 21,224.48, 31,795.12 and 12,321.14

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Solution

The fourth proportional to 21,224.48, 31,795.12 and 12,321.14 is: 18,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.48 : 31,795.12 = 12,321.14 : x
  2. Step 2: Convert to fraction form
    21,224.48/31,795.12 = 12,321.14/x
  3. Step 3: Cross multiply
    21,224.48x = 31,795.12 × 12,321.14
  4. Step 4: Simplify right side
    21,224.48x = 391,751,953.32
  5. Step 5: Solve for x
    x = 391,751,953.32/21,224.48
  6. Step 6: Final answer
    x = 18,457.55

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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.