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Finding the Fourth Proportional to 18,342.36, 25,312.14 and 9,958.68

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Solution

The fourth proportional to 18,342.36, 25,312.14 and 9,958.68 is: 13,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,342.36 : 25,312.14 = 9,958.68 : x
  2. Step 2: Convert to fraction form
    18,342.36/25,312.14 = 9,958.68/x
  3. Step 3: Cross multiply
    18,342.36x = 25,312.14 × 9,958.68
  4. Step 4: Simplify right side
    18,342.36x = 252,075,502.38
  5. Step 5: Solve for x
    x = 252,075,502.38/18,342.36
  6. Step 6: Final answer
    x = 13,742.81

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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.