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Finding the Fourth Proportional to 14,454.33, 21,664.98 and 6,562.86

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Solution

The fourth proportional to 14,454.33, 21,664.98 and 6,562.86 is: 9,836.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.33 : 21,664.98 = 6,562.86 : x
  2. Step 2: Convert to fraction form
    14,454.33/21,664.98 = 6,562.86/x
  3. Step 3: Cross multiply
    14,454.33x = 21,664.98 × 6,562.86
  4. Step 4: Simplify right side
    14,454.33x = 142,184,230.64
  5. Step 5: Solve for x
    x = 142,184,230.64/14,454.33
  6. Step 6: Final answer
    x = 9,836.79

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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.