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Finding the Fourth Proportional to 14,213.19, 19,613.94 and 7,840.38

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Solution

The fourth proportional to 14,213.19, 19,613.94 and 7,840.38 is: 10,819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.19 : 19,613.94 = 7,840.38 : x
  2. Step 2: Convert to fraction form
    14,213.19/19,613.94 = 7,840.38/x
  3. Step 3: Cross multiply
    14,213.19x = 19,613.94 × 7,840.38
  4. Step 4: Simplify right side
    14,213.19x = 153,780,742.90
  5. Step 5: Solve for x
    x = 153,780,742.90/14,213.19
  6. Step 6: Final answer
    x = 10,819.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.