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Finding the Fourth Proportional to 21,147.93, 29,182.01 and 12,648.38

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Solution

The fourth proportional to 21,147.93, 29,182.01 and 12,648.38 is: 17,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147.93 : 29,182.01 = 12,648.38 : x
  2. Step 2: Convert to fraction form
    21,147.93/29,182.01 = 12,648.38/x
  3. Step 3: Cross multiply
    21,147.93x = 29,182.01 × 12,648.38
  4. Step 4: Simplify right side
    21,147.93x = 369,104,942.49
  5. Step 5: Solve for x
    x = 369,104,942.49/21,147.93
  6. Step 6: Final answer
    x = 17,453.48

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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.