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Finding the Fourth Proportional to 16,012.65, 24,139.09 and 14,942.24

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Solution

The fourth proportional to 16,012.65, 24,139.09 and 14,942.24 is: 22,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.65 : 24,139.09 = 14,942.24 : x
  2. Step 2: Convert to fraction form
    16,012.65/24,139.09 = 14,942.24/x
  3. Step 3: Cross multiply
    16,012.65x = 24,139.09 × 14,942.24
  4. Step 4: Simplify right side
    16,012.65x = 360,692,001.45
  5. Step 5: Solve for x
    x = 360,692,001.45/16,012.65
  6. Step 6: Final answer
    x = 22,525.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.