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Finding the Fourth Proportional to 21,113.82, 31,626 and 13,696.20

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Solution

The fourth proportional to 21,113.82, 31,626 and 13,696.20 is: 20,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,113.82 : 31,626 = 13,696.20 : x
  2. Step 2: Convert to fraction form
    21,113.82/31,626 = 13,696.20/x
  3. Step 3: Cross multiply
    21,113.82x = 31,626 × 13,696.20
  4. Step 4: Simplify right side
    21,113.82x = 433,156,021.20
  5. Step 5: Solve for x
    x = 433,156,021.20/21,113.82
  6. Step 6: Final answer
    x = 20,515.28

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