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Finding the Fourth Proportional to 13,923.42, 19,214.08 and 7,873.56

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Solution

The fourth proportional to 13,923.42, 19,214.08 and 7,873.56 is: 10,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.42 : 19,214.08 = 7,873.56 : x
  2. Step 2: Convert to fraction form
    13,923.42/19,214.08 = 7,873.56/x
  3. Step 3: Cross multiply
    13,923.42x = 19,214.08 × 7,873.56
  4. Step 4: Simplify right side
    13,923.42x = 151,283,211.72
  5. Step 5: Solve for x
    x = 151,283,211.72/13,923.42
  6. Step 6: Final answer
    x = 10,865.38

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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.