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Finding the Fourth Proportional to 14,562, 21,850.92 and 5,796.90

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Solution

The fourth proportional to 14,562, 21,850.92 and 5,796.90 is: 8,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562 : 21,850.92 = 5,796.90 : x
  2. Step 2: Convert to fraction form
    14,562/21,850.92 = 5,796.90/x
  3. Step 3: Cross multiply
    14,562x = 21,850.92 × 5,796.90
  4. Step 4: Simplify right side
    14,562x = 126,667,598.15
  5. Step 5: Solve for x
    x = 126,667,598.15/14,562
  6. Step 6: Final answer
    x = 8,698.50

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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.