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Finding the Fourth Proportional to 16,271.30, 24,406.83 and 4,584.26

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Solution

The fourth proportional to 16,271.30, 24,406.83 and 4,584.26 is: 6,876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271.30 : 24,406.83 = 4,584.26 : x
  2. Step 2: Convert to fraction form
    16,271.30/24,406.83 = 4,584.26/x
  3. Step 3: Cross multiply
    16,271.30x = 24,406.83 × 4,584.26
  4. Step 4: Simplify right side
    16,271.30x = 111,887,254.50
  5. Step 5: Solve for x
    x = 111,887,254.50/16,271.30
  6. Step 6: Final answer
    x = 6,876.36

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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.