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Finding the Fourth Proportional to 16,469.16, 24,701.22 and 4,779.96

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Solution

The fourth proportional to 16,469.16, 24,701.22 and 4,779.96 is: 7,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.16 : 24,701.22 = 4,779.96 : x
  2. Step 2: Convert to fraction form
    16,469.16/24,701.22 = 4,779.96/x
  3. Step 3: Cross multiply
    16,469.16x = 24,701.22 × 4,779.96
  4. Step 4: Simplify right side
    16,469.16x = 118,070,843.55
  5. Step 5: Solve for x
    x = 118,070,843.55/16,469.16
  6. Step 6: Final answer
    x = 7,169.21

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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.