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Finding the Fourth Proportional to 21,894.96, 32,826 and 13,562.24

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Solution

The fourth proportional to 21,894.96, 32,826 and 13,562.24 is: 20,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.96 : 32,826 = 13,562.24 : x
  2. Step 2: Convert to fraction form
    21,894.96/32,826 = 13,562.24/x
  3. Step 3: Cross multiply
    21,894.96x = 32,826 × 13,562.24
  4. Step 4: Simplify right side
    21,894.96x = 445,194,090.24
  5. Step 5: Solve for x
    x = 445,194,090.24/21,894.96
  6. Step 6: Final answer
    x = 20,333.18

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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.