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Finding the Fourth Proportional to 23,200.88, 34,806.06 and 9,873.86

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Solution

The fourth proportional to 23,200.88, 34,806.06 and 9,873.86 is: 14,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.88 : 34,806.06 = 9,873.86 : x
  2. Step 2: Convert to fraction form
    23,200.88/34,806.06 = 9,873.86/x
  3. Step 3: Cross multiply
    23,200.88x = 34,806.06 × 9,873.86
  4. Step 4: Simplify right side
    23,200.88x = 343,669,989.56
  5. Step 5: Solve for x
    x = 343,669,989.56/23,200.88
  6. Step 6: Final answer
    x = 14,812.80

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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.