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Finding the Fourth Proportional to 21,449.54, 32,168.16 and 7,405.92

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Solution

The fourth proportional to 21,449.54, 32,168.16 and 7,405.92 is: 11,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,449.54 : 32,168.16 = 7,405.92 : x
  2. Step 2: Convert to fraction form
    21,449.54/32,168.16 = 7,405.92/x
  3. Step 3: Cross multiply
    21,449.54x = 32,168.16 × 7,405.92
  4. Step 4: Simplify right side
    21,449.54x = 238,234,819.51
  5. Step 5: Solve for x
    x = 238,234,819.51/21,449.54
  6. Step 6: Final answer
    x = 11,106.76

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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.