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Finding the Fourth Proportional to 19,826.40, 29,696.40 and 17,234.40

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Solution

The fourth proportional to 19,826.40, 29,696.40 and 17,234.40 is: 25,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.40 : 29,696.40 = 17,234.40 : x
  2. Step 2: Convert to fraction form
    19,826.40/29,696.40 = 17,234.40/x
  3. Step 3: Cross multiply
    19,826.40x = 29,696.40 × 17,234.40
  4. Step 4: Simplify right side
    19,826.40x = 511,799,636.16
  5. Step 5: Solve for x
    x = 511,799,636.16/19,826.40
  6. Step 6: Final answer
    x = 25,814.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.