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Finding the Fourth Proportional to 16,075.44, 24,103.68 and 5,541.84

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Solution

The fourth proportional to 16,075.44, 24,103.68 and 5,541.84 is: 8,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.44 : 24,103.68 = 5,541.84 : x
  2. Step 2: Convert to fraction form
    16,075.44/24,103.68 = 5,541.84/x
  3. Step 3: Cross multiply
    16,075.44x = 24,103.68 × 5,541.84
  4. Step 4: Simplify right side
    16,075.44x = 133,578,737.97
  5. Step 5: Solve for x
    x = 133,578,737.97/16,075.44
  6. Step 6: Final answer
    x = 8,309.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.