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Finding the Fourth Proportional to 21,456.16, 32,179.84 and 8,124.55

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Solution

The fourth proportional to 21,456.16, 32,179.84 and 8,124.55 is: 12,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456.16 : 32,179.84 = 8,124.55 : x
  2. Step 2: Convert to fraction form
    21,456.16/32,179.84 = 8,124.55/x
  3. Step 3: Cross multiply
    21,456.16x = 32,179.84 × 8,124.55
  4. Step 4: Simplify right side
    21,456.16x = 261,446,719.07
  5. Step 5: Solve for x
    x = 261,446,719.07/21,456.16
  6. Step 6: Final answer
    x = 12,185.16

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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.