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Finding the Fourth Proportional to 16,321.69, 24,483.66 and 5,075.50

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Solution

The fourth proportional to 16,321.69, 24,483.66 and 5,075.50 is: 7,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,321.69 : 24,483.66 = 5,075.50 : x
  2. Step 2: Convert to fraction form
    16,321.69/24,483.66 = 5,075.50/x
  3. Step 3: Cross multiply
    16,321.69x = 24,483.66 × 5,075.50
  4. Step 4: Simplify right side
    16,321.69x = 124,266,816.33
  5. Step 5: Solve for x
    x = 124,266,816.33/16,321.69
  6. Step 6: Final answer
    x = 7,613.60

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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.