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Finding the Fourth Proportional to 21,512.54, 32,267.92 and 7,475.74

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Solution

The fourth proportional to 21,512.54, 32,267.92 and 7,475.74 is: 11,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,512.54 : 32,267.92 = 7,475.74 : x
  2. Step 2: Convert to fraction form
    21,512.54/32,267.92 = 7,475.74/x
  3. Step 3: Cross multiply
    21,512.54x = 32,267.92 × 7,475.74
  4. Step 4: Simplify right side
    21,512.54x = 241,226,676.43
  5. Step 5: Solve for x
    x = 241,226,676.43/21,512.54
  6. Step 6: Final answer
    x = 11,213.31

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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.