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Finding the Fourth Proportional to 14,271.46, 21,407.03 and 5,500.22

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Solution

The fourth proportional to 14,271.46, 21,407.03 and 5,500.22 is: 8,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.46 : 21,407.03 = 5,500.22 : x
  2. Step 2: Convert to fraction form
    14,271.46/21,407.03 = 5,500.22/x
  3. Step 3: Cross multiply
    14,271.46x = 21,407.03 × 5,500.22
  4. Step 4: Simplify right side
    14,271.46x = 117,743,374.55
  5. Step 5: Solve for x
    x = 117,743,374.55/14,271.46
  6. Step 6: Final answer
    x = 8,250.27

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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.