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Finding the Fourth Proportional to 16,076.31, 24,114.21 and 4,389.49

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Solution

The fourth proportional to 16,076.31, 24,114.21 and 4,389.49 is: 6,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.31 : 24,114.21 = 4,389.49 : x
  2. Step 2: Convert to fraction form
    16,076.31/24,114.21 = 4,389.49/x
  3. Step 3: Cross multiply
    16,076.31x = 24,114.21 × 4,389.49
  4. Step 4: Simplify right side
    16,076.31x = 105,849,083.65
  5. Step 5: Solve for x
    x = 105,849,083.65/16,076.31
  6. Step 6: Final answer
    x = 6,584.17

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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.