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Finding the Fourth Proportional to 14,184.56, 19,573.44 and 8,214.32

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Solution

The fourth proportional to 14,184.56, 19,573.44 and 8,214.32 is: 11,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184.56 : 19,573.44 = 8,214.32 : x
  2. Step 2: Convert to fraction form
    14,184.56/19,573.44 = 8,214.32/x
  3. Step 3: Cross multiply
    14,184.56x = 19,573.44 × 8,214.32
  4. Step 4: Simplify right side
    14,184.56x = 160,782,499.66
  5. Step 5: Solve for x
    x = 160,782,499.66/14,184.56
  6. Step 6: Final answer
    x = 11,335.04

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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.