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Finding the Fourth Proportional to 14,230.42, 21,347.92 and 5,346.43

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Solution

The fourth proportional to 14,230.42, 21,347.92 and 5,346.43 is: 8,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.42 : 21,347.92 = 5,346.43 : x
  2. Step 2: Convert to fraction form
    14,230.42/21,347.92 = 5,346.43/x
  3. Step 3: Cross multiply
    14,230.42x = 21,347.92 × 5,346.43
  4. Step 4: Simplify right side
    14,230.42x = 114,135,159.93
  5. Step 5: Solve for x
    x = 114,135,159.93/14,230.42
  6. Step 6: Final answer
    x = 8,020.51

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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.