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Finding the Fourth Proportional to 21,882.45, 32,823.68 and 16,374.45

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Solution

The fourth proportional to 21,882.45, 32,823.68 and 16,374.45 is: 24,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882.45 : 32,823.68 = 16,374.45 : x
  2. Step 2: Convert to fraction form
    21,882.45/32,823.68 = 16,374.45/x
  3. Step 3: Cross multiply
    21,882.45x = 32,823.68 × 16,374.45
  4. Step 4: Simplify right side
    21,882.45x = 537,469,625.10
  5. Step 5: Solve for x
    x = 537,469,625.10/21,882.45
  6. Step 6: Final answer
    x = 24,561.68

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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.