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Finding the Fourth Proportional to 23,485.12, 35,229.34 and 9,445.22

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Solution

The fourth proportional to 23,485.12, 35,229.34 and 9,445.22 is: 14,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,485.12 : 35,229.34 = 9,445.22 : x
  2. Step 2: Convert to fraction form
    23,485.12/35,229.34 = 9,445.22/x
  3. Step 3: Cross multiply
    23,485.12x = 35,229.34 × 9,445.22
  4. Step 4: Simplify right side
    23,485.12x = 332,748,834.52
  5. Step 5: Solve for x
    x = 332,748,834.52/23,485.12
  6. Step 6: Final answer
    x = 14,168.50

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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.