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Finding the Fourth Proportional to 21,278.34, 29,364.42 and 11,719.38

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Solution

The fourth proportional to 21,278.34, 29,364.42 and 11,719.38 is: 16,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278.34 : 29,364.42 = 11,719.38 : x
  2. Step 2: Convert to fraction form
    21,278.34/29,364.42 = 11,719.38/x
  3. Step 3: Cross multiply
    21,278.34x = 29,364.42 × 11,719.38
  4. Step 4: Simplify right side
    21,278.34x = 344,132,796.46
  5. Step 5: Solve for x
    x = 344,132,796.46/21,278.34
  6. Step 6: Final answer
    x = 16,172.92

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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.