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Finding the Fourth Proportional to 14,693.42, 22,043.88 and 4,832.80

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Solution

The fourth proportional to 14,693.42, 22,043.88 and 4,832.80 is: 7,250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.42 : 22,043.88 = 4,832.80 : x
  2. Step 2: Convert to fraction form
    14,693.42/22,043.88 = 4,832.80/x
  3. Step 3: Cross multiply
    14,693.42x = 22,043.88 × 4,832.80
  4. Step 4: Simplify right side
    14,693.42x = 106,533,608.15
  5. Step 5: Solve for x
    x = 106,533,608.15/14,693.42
  6. Step 6: Final answer
    x = 7,250.43

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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.