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Finding the Fourth Proportional to 14,193.16, 19,580.68 and 8,449.44

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Solution

The fourth proportional to 14,193.16, 19,580.68 and 8,449.44 is: 11,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.16 : 19,580.68 = 8,449.44 : x
  2. Step 2: Convert to fraction form
    14,193.16/19,580.68 = 8,449.44/x
  3. Step 3: Cross multiply
    14,193.16x = 19,580.68 × 8,449.44
  4. Step 4: Simplify right side
    14,193.16x = 165,445,780.82
  5. Step 5: Solve for x
    x = 165,445,780.82/14,193.16
  6. Step 6: Final answer
    x = 11,656.73

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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.