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Finding the Fourth Proportional to 16,055.50, 24,083.38 and 4,962.16

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Solution

The fourth proportional to 16,055.50, 24,083.38 and 4,962.16 is: 7,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,055.50 : 24,083.38 = 4,962.16 : x
  2. Step 2: Convert to fraction form
    16,055.50/24,083.38 = 4,962.16/x
  3. Step 3: Cross multiply
    16,055.50x = 24,083.38 × 4,962.16
  4. Step 4: Simplify right side
    16,055.50x = 119,505,584.90
  5. Step 5: Solve for x
    x = 119,505,584.90/16,055.50
  6. Step 6: Final answer
    x = 7,443.28

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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.