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Finding the Fourth Proportional to 16,424.58, 24,636.33 and 4,738.98

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Solution

The fourth proportional to 16,424.58, 24,636.33 and 4,738.98 is: 7,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424.58 : 24,636.33 = 4,738.98 : x
  2. Step 2: Convert to fraction form
    16,424.58/24,636.33 = 4,738.98/x
  3. Step 3: Cross multiply
    16,424.58x = 24,636.33 × 4,738.98
  4. Step 4: Simplify right side
    16,424.58x = 116,751,075.14
  5. Step 5: Solve for x
    x = 116,751,075.14/16,424.58
  6. Step 6: Final answer
    x = 7,108.31

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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.