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Finding the Fourth Proportional to 14,642.85, 20,207.24 and 8,182.50

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Solution

The fourth proportional to 14,642.85, 20,207.24 and 8,182.50 is: 11,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.85 : 20,207.24 = 8,182.50 : x
  2. Step 2: Convert to fraction form
    14,642.85/20,207.24 = 8,182.50/x
  3. Step 3: Cross multiply
    14,642.85x = 20,207.24 × 8,182.50
  4. Step 4: Simplify right side
    14,642.85x = 165,345,741.30
  5. Step 5: Solve for x
    x = 165,345,741.30/14,642.85
  6. Step 6: Final answer
    x = 11,291.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.