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Finding the Fourth Proportional to 16,006.50, 22,077.43 and 13,878.23

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Solution

The fourth proportional to 16,006.50, 22,077.43 and 13,878.23 is: 19,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.50 : 22,077.43 = 13,878.23 : x
  2. Step 2: Convert to fraction form
    16,006.50/22,077.43 = 13,878.23/x
  3. Step 3: Cross multiply
    16,006.50x = 22,077.43 × 13,878.23
  4. Step 4: Simplify right side
    16,006.50x = 306,395,506.27
  5. Step 5: Solve for x
    x = 306,395,506.27/16,006.50
  6. Step 6: Final answer
    x = 19,141.94

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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.