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Finding the Fourth Proportional to 13,699.38, 18,917.93 and 10,082.63

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Solution

The fourth proportional to 13,699.38, 18,917.93 and 10,082.63 is: 13,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.38 : 18,917.93 = 10,082.63 : x
  2. Step 2: Convert to fraction form
    13,699.38/18,917.93 = 10,082.63/x
  3. Step 3: Cross multiply
    13,699.38x = 18,917.93 × 10,082.63
  4. Step 4: Simplify right side
    13,699.38x = 190,742,343.55
  5. Step 5: Solve for x
    x = 190,742,343.55/13,699.38
  6. Step 6: Final answer
    x = 13,923.43

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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.