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Finding the Fourth Proportional to 23,938, 33,034.39 and 13,330.14

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Solution

The fourth proportional to 23,938, 33,034.39 and 13,330.14 is: 18,395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,938 : 33,034.39 = 13,330.14 : x
  2. Step 2: Convert to fraction form
    23,938/33,034.39 = 13,330.14/x
  3. Step 3: Cross multiply
    23,938x = 33,034.39 × 13,330.14
  4. Step 4: Simplify right side
    23,938x = 440,353,043.51
  5. Step 5: Solve for x
    x = 440,353,043.51/23,938
  6. Step 6: Final answer
    x = 18,395.57

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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.