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Finding the Fourth Proportional to 21,476.38, 29,640.64 and 13,097.74

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Solution

The fourth proportional to 21,476.38, 29,640.64 and 13,097.74 is: 18,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,476.38 : 29,640.64 = 13,097.74 : x
  2. Step 2: Convert to fraction form
    21,476.38/29,640.64 = 13,097.74/x
  3. Step 3: Cross multiply
    21,476.38x = 29,640.64 × 13,097.74
  4. Step 4: Simplify right side
    21,476.38x = 388,225,396.15
  5. Step 5: Solve for x
    x = 388,225,396.15/21,476.38
  6. Step 6: Final answer
    x = 18,076.85

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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.