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Finding the Fourth Proportional to 21,160.14, 29,202 and 11,728.71

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Solution

The fourth proportional to 21,160.14, 29,202 and 11,728.71 is: 16,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,160.14 : 29,202 = 11,728.71 : x
  2. Step 2: Convert to fraction form
    21,160.14/29,202 = 11,728.71/x
  3. Step 3: Cross multiply
    21,160.14x = 29,202 × 11,728.71
  4. Step 4: Simplify right side
    21,160.14x = 342,501,789.42
  5. Step 5: Solve for x
    x = 342,501,789.42/21,160.14
  6. Step 6: Final answer
    x = 16,186.18

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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.