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Finding the Fourth Proportional to 14,976.34, 20,667.54 and 8,262.24

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Solution

The fourth proportional to 14,976.34, 20,667.54 and 8,262.24 is: 11,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976.34 : 20,667.54 = 8,262.24 : x
  2. Step 2: Convert to fraction form
    14,976.34/20,667.54 = 8,262.24/x
  3. Step 3: Cross multiply
    14,976.34x = 20,667.54 × 8,262.24
  4. Step 4: Simplify right side
    14,976.34x = 170,760,175.69
  5. Step 5: Solve for x
    x = 170,760,175.69/14,976.34
  6. Step 6: Final answer
    x = 11,402.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.