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Finding the Fourth Proportional to 14,222.79, 19,627.31 and 7,849.44

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Solution

The fourth proportional to 14,222.79, 19,627.31 and 7,849.44 is: 10,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222.79 : 19,627.31 = 7,849.44 : x
  2. Step 2: Convert to fraction form
    14,222.79/19,627.31 = 7,849.44/x
  3. Step 3: Cross multiply
    14,222.79x = 19,627.31 × 7,849.44
  4. Step 4: Simplify right side
    14,222.79x = 154,063,352.96
  5. Step 5: Solve for x
    x = 154,063,352.96/14,222.79
  6. Step 6: Final answer
    x = 10,832.15

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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.