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Finding the Fourth Proportional to 14,287.54, 21,434.70 and 5,962.92

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Solution

The fourth proportional to 14,287.54, 21,434.70 and 5,962.92 is: 8,945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.54 : 21,434.70 = 5,962.92 : x
  2. Step 2: Convert to fraction form
    14,287.54/21,434.70 = 5,962.92/x
  3. Step 3: Cross multiply
    14,287.54x = 21,434.70 × 5,962.92
  4. Step 4: Simplify right side
    14,287.54x = 127,813,401.32
  5. Step 5: Solve for x
    x = 127,813,401.32/14,287.54
  6. Step 6: Final answer
    x = 8,945.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.