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Finding the Fourth Proportional to 21,675.38, 29,911.62 and 12,115.40

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Solution

The fourth proportional to 21,675.38, 29,911.62 and 12,115.40 is: 16,719.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675.38 : 29,911.62 = 12,115.40 : x
  2. Step 2: Convert to fraction form
    21,675.38/29,911.62 = 12,115.40/x
  3. Step 3: Cross multiply
    21,675.38x = 29,911.62 × 12,115.40
  4. Step 4: Simplify right side
    21,675.38x = 362,391,240.95
  5. Step 5: Solve for x
    x = 362,391,240.95/21,675.38
  6. Step 6: Final answer
    x = 16,719.03

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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.