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Finding the Fourth Proportional to 21,071.28, 29,084.14 and 13,108.74

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Solution

The fourth proportional to 21,071.28, 29,084.14 and 13,108.74 is: 18,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071.28 : 29,084.14 = 13,108.74 : x
  2. Step 2: Convert to fraction form
    21,071.28/29,084.14 = 13,108.74/x
  3. Step 3: Cross multiply
    21,071.28x = 29,084.14 × 13,108.74
  4. Step 4: Simplify right side
    21,071.28x = 381,256,429.38
  5. Step 5: Solve for x
    x = 381,256,429.38/21,071.28
  6. Step 6: Final answer
    x = 18,093.65

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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.