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Finding the Fourth Proportional to 16,324, 22,527.12 and 8,872

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Solution

The fourth proportional to 16,324, 22,527.12 and 8,872 is: 12,243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,324 : 22,527.12 = 8,872 : x
  2. Step 2: Convert to fraction form
    16,324/22,527.12 = 8,872/x
  3. Step 3: Cross multiply
    16,324x = 22,527.12 × 8,872
  4. Step 4: Simplify right side
    16,324x = 199,860,608.64
  5. Step 5: Solve for x
    x = 199,860,608.64/16,324
  6. Step 6: Final answer
    x = 12,243.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.