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Finding the Fourth Proportional to 14,272.24, 21,406.02 and 3,884.80

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Solution

The fourth proportional to 14,272.24, 21,406.02 and 3,884.80 is: 5,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,272.24 : 21,406.02 = 3,884.80 : x
  2. Step 2: Convert to fraction form
    14,272.24/21,406.02 = 3,884.80/x
  3. Step 3: Cross multiply
    14,272.24x = 21,406.02 × 3,884.80
  4. Step 4: Simplify right side
    14,272.24x = 83,158,106.50
  5. Step 5: Solve for x
    x = 83,158,106.50/14,272.24
  6. Step 6: Final answer
    x = 5,826.56

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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.