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Finding the Fourth Proportional to 23,909.50, 35,868.53 and 9,861.72

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Solution

The fourth proportional to 23,909.50, 35,868.53 and 9,861.72 is: 14,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,909.50 : 35,868.53 = 9,861.72 : x
  2. Step 2: Convert to fraction form
    23,909.50/35,868.53 = 9,861.72/x
  3. Step 3: Cross multiply
    23,909.50x = 35,868.53 × 9,861.72
  4. Step 4: Simplify right side
    23,909.50x = 353,725,399.67
  5. Step 5: Solve for x
    x = 353,725,399.67/23,909.50
  6. Step 6: Final answer
    x = 14,794.35

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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.