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Finding the Fourth Proportional to 21,373.50, 32,059.86 and 8,228.72

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Solution

The fourth proportional to 21,373.50, 32,059.86 and 8,228.72 is: 12,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,373.50 : 32,059.86 = 8,228.72 : x
  2. Step 2: Convert to fraction form
    21,373.50/32,059.86 = 8,228.72/x
  3. Step 3: Cross multiply
    21,373.50x = 32,059.86 × 8,228.72
  4. Step 4: Simplify right side
    21,373.50x = 263,811,450.88
  5. Step 5: Solve for x
    x = 263,811,450.88/21,373.50
  6. Step 6: Final answer
    x = 12,342.92

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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.