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Finding the Fourth Proportional to 14,468.68, 21,705.72 and 6,571.75

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Solution

The fourth proportional to 14,468.68, 21,705.72 and 6,571.75 is: 9,858.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.68 : 21,705.72 = 6,571.75 : x
  2. Step 2: Convert to fraction form
    14,468.68/21,705.72 = 6,571.75/x
  3. Step 3: Cross multiply
    14,468.68x = 21,705.72 × 6,571.75
  4. Step 4: Simplify right side
    14,468.68x = 142,644,565.41
  5. Step 5: Solve for x
    x = 142,644,565.41/14,468.68
  6. Step 6: Final answer
    x = 9,858.85

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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.