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Finding the Fourth Proportional to 14,468.40, 21,709.80 and 8,233.20

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Solution

The fourth proportional to 14,468.40, 21,709.80 and 8,233.20 is: 12,353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.40 : 21,709.80 = 8,233.20 : x
  2. Step 2: Convert to fraction form
    14,468.40/21,709.80 = 8,233.20/x
  3. Step 3: Cross multiply
    14,468.40x = 21,709.80 × 8,233.20
  4. Step 4: Simplify right side
    14,468.40x = 178,741,125.36
  5. Step 5: Solve for x
    x = 178,741,125.36/14,468.40
  6. Step 6: Final answer
    x = 12,353.90

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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.