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Finding the Fourth Proportional to 21,144.59, 29,180.50 and 11,713.16

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Solution

The fourth proportional to 21,144.59, 29,180.50 and 11,713.16 is: 16,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144.59 : 29,180.50 = 11,713.16 : x
  2. Step 2: Convert to fraction form
    21,144.59/29,180.50 = 11,713.16/x
  3. Step 3: Cross multiply
    21,144.59x = 29,180.50 × 11,713.16
  4. Step 4: Simplify right side
    21,144.59x = 341,795,865.38
  5. Step 5: Solve for x
    x = 341,795,865.38/21,144.59
  6. Step 6: Final answer
    x = 16,164.70

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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.