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Finding the Fourth Proportional to 14,782.58, 22,182.37 and 8,208.21

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Solution

The fourth proportional to 14,782.58, 22,182.37 and 8,208.21 is: 12,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.58 : 22,182.37 = 8,208.21 : x
  2. Step 2: Convert to fraction form
    14,782.58/22,182.37 = 8,208.21/x
  3. Step 3: Cross multiply
    14,782.58x = 22,182.37 × 8,208.21
  4. Step 4: Simplify right side
    14,782.58x = 182,077,530.74
  5. Step 5: Solve for x
    x = 182,077,530.74/14,782.58
  6. Step 6: Final answer
    x = 12,317.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.