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Finding the Fourth Proportional to 23,549.50, 35,321.64 and 6,909.67

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Solution

The fourth proportional to 23,549.50, 35,321.64 and 6,909.67 is: 10,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549.50 : 35,321.64 = 6,909.67 : x
  2. Step 2: Convert to fraction form
    23,549.50/35,321.64 = 6,909.67/x
  3. Step 3: Cross multiply
    23,549.50x = 35,321.64 × 6,909.67
  4. Step 4: Simplify right side
    23,549.50x = 244,060,876.26
  5. Step 5: Solve for x
    x = 244,060,876.26/23,549.50
  6. Step 6: Final answer
    x = 10,363.74

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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.