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Finding the Fourth Proportional to 19,428.12, 29,122.74 and 16,551

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Solution

The fourth proportional to 19,428.12, 29,122.74 and 16,551 is: 24,809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,428.12 : 29,122.74 = 16,551 : x
  2. Step 2: Convert to fraction form
    19,428.12/29,122.74 = 16,551/x
  3. Step 3: Cross multiply
    19,428.12x = 29,122.74 × 16,551
  4. Step 4: Simplify right side
    19,428.12x = 482,010,469.74
  5. Step 5: Solve for x
    x = 482,010,469.74/19,428.12
  6. Step 6: Final answer
    x = 24,809.94

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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.