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Finding the Fourth Proportional to 21,092.14, 29,106.93 and 11,660.68

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Solution

The fourth proportional to 21,092.14, 29,106.93 and 11,660.68 is: 16,091.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,092.14 : 29,106.93 = 11,660.68 : x
  2. Step 2: Convert to fraction form
    21,092.14/29,106.93 = 11,660.68/x
  3. Step 3: Cross multiply
    21,092.14x = 29,106.93 × 11,660.68
  4. Step 4: Simplify right side
    21,092.14x = 339,406,596.51
  5. Step 5: Solve for x
    x = 339,406,596.51/21,092.14
  6. Step 6: Final answer
    x = 16,091.62

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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.