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Finding the Fourth Proportional to 14,451.30, 21,662.04 and 7,046.61

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Solution

The fourth proportional to 14,451.30, 21,662.04 and 7,046.61 is: 10,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.30 : 21,662.04 = 7,046.61 : x
  2. Step 2: Convert to fraction form
    14,451.30/21,662.04 = 7,046.61/x
  3. Step 3: Cross multiply
    14,451.30x = 21,662.04 × 7,046.61
  4. Step 4: Simplify right side
    14,451.30x = 152,643,947.68
  5. Step 5: Solve for x
    x = 152,643,947.68/14,451.30
  6. Step 6: Final answer
    x = 10,562.64

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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.