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Finding the Fourth Proportional to 21,693.28, 29,925.15 and 13,198

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Solution

The fourth proportional to 21,693.28, 29,925.15 and 13,198 is: 18,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,693.28 : 29,925.15 = 13,198 : x
  2. Step 2: Convert to fraction form
    21,693.28/29,925.15 = 13,198/x
  3. Step 3: Cross multiply
    21,693.28x = 29,925.15 × 13,198
  4. Step 4: Simplify right side
    21,693.28x = 394,952,129.70
  5. Step 5: Solve for x
    x = 394,952,129.70/21,693.28
  6. Step 6: Final answer
    x = 18,206.20

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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.