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Finding the Fourth Proportional to 14,213.01, 19,613.72 and 7,840.22

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Solution

The fourth proportional to 14,213.01, 19,613.72 and 7,840.22 is: 10,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.01 : 19,613.72 = 7,840.22 : x
  2. Step 2: Convert to fraction form
    14,213.01/19,613.72 = 7,840.22/x
  3. Step 3: Cross multiply
    14,213.01x = 19,613.72 × 7,840.22
  4. Step 4: Simplify right side
    14,213.01x = 153,775,889.65
  5. Step 5: Solve for x
    x = 153,775,889.65/14,213.01
  6. Step 6: Final answer
    x = 10,819.38

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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.