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Finding the Fourth Proportional to 14,149.06, 21,226.92 and 4,287.76

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Solution

The fourth proportional to 14,149.06, 21,226.92 and 4,287.76 is: 6,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.06 : 21,226.92 = 4,287.76 : x
  2. Step 2: Convert to fraction form
    14,149.06/21,226.92 = 4,287.76/x
  3. Step 3: Cross multiply
    14,149.06x = 21,226.92 × 4,287.76
  4. Step 4: Simplify right side
    14,149.06x = 91,015,938.50
  5. Step 5: Solve for x
    x = 91,015,938.50/14,149.06
  6. Step 6: Final answer
    x = 6,432.65

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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.