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Finding the Fourth Proportional to 14,461.76, 21,667.87 and 7,892.56

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Solution

The fourth proportional to 14,461.76, 21,667.87 and 7,892.56 is: 11,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.76 : 21,667.87 = 7,892.56 : x
  2. Step 2: Convert to fraction form
    14,461.76/21,667.87 = 7,892.56/x
  3. Step 3: Cross multiply
    14,461.76x = 21,667.87 × 7,892.56
  4. Step 4: Simplify right side
    14,461.76x = 171,014,879.12
  5. Step 5: Solve for x
    x = 171,014,879.12/14,461.76
  6. Step 6: Final answer
    x = 11,825.32

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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.