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Finding the Fourth Proportional to 21,382.75, 29,507.65 and 11,951.38

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Solution

The fourth proportional to 21,382.75, 29,507.65 and 11,951.38 is: 16,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.75 : 29,507.65 = 11,951.38 : x
  2. Step 2: Convert to fraction form
    21,382.75/29,507.65 = 11,951.38/x
  3. Step 3: Cross multiply
    21,382.75x = 29,507.65 × 11,951.38
  4. Step 4: Simplify right side
    21,382.75x = 352,657,138.06
  5. Step 5: Solve for x
    x = 352,657,138.06/21,382.75
  6. Step 6: Final answer
    x = 16,492.60

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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.