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Finding the Fourth Proportional to 16,285.84, 24,390.78 and 11,892.40

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Solution

The fourth proportional to 16,285.84, 24,390.78 and 11,892.40 is: 17,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.84 : 24,390.78 = 11,892.40 : x
  2. Step 2: Convert to fraction form
    16,285.84/24,390.78 = 11,892.40/x
  3. Step 3: Cross multiply
    16,285.84x = 24,390.78 × 11,892.40
  4. Step 4: Simplify right side
    16,285.84x = 290,064,912.07
  5. Step 5: Solve for x
    x = 290,064,912.07/16,285.84
  6. Step 6: Final answer
    x = 17,810.87

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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.