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Finding the Fourth Proportional to 14,062.63, 21,093.96 and 5,742.65

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Solution

The fourth proportional to 14,062.63, 21,093.96 and 5,742.65 is: 8,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,062.63 : 21,093.96 = 5,742.65 : x
  2. Step 2: Convert to fraction form
    14,062.63/21,093.96 = 5,742.65/x
  3. Step 3: Cross multiply
    14,062.63x = 21,093.96 × 5,742.65
  4. Step 4: Simplify right side
    14,062.63x = 121,135,164.66
  5. Step 5: Solve for x
    x = 121,135,164.66/14,062.63
  6. Step 6: Final answer
    x = 8,613.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.