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Finding the Fourth Proportional to 21,488.70, 29,664.99 and 13,543.14

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Solution

The fourth proportional to 21,488.70, 29,664.99 and 13,543.14 is: 18,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,488.70 : 29,664.99 = 13,543.14 : x
  2. Step 2: Convert to fraction form
    21,488.70/29,664.99 = 13,543.14/x
  3. Step 3: Cross multiply
    21,488.70x = 29,664.99 × 13,543.14
  4. Step 4: Simplify right side
    21,488.70x = 401,757,112.67
  5. Step 5: Solve for x
    x = 401,757,112.67/21,488.70
  6. Step 6: Final answer
    x = 18,696.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.