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Finding the Fourth Proportional to 21,147.66, 29,182.14 and 11,585.40

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Solution

The fourth proportional to 21,147.66, 29,182.14 and 11,585.40 is: 15,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147.66 : 29,182.14 = 11,585.40 : x
  2. Step 2: Convert to fraction form
    21,147.66/29,182.14 = 11,585.40/x
  3. Step 3: Cross multiply
    21,147.66x = 29,182.14 × 11,585.40
  4. Step 4: Simplify right side
    21,147.66x = 338,086,764.76
  5. Step 5: Solve for x
    x = 338,086,764.76/21,147.66
  6. Step 6: Final answer
    x = 15,986.96

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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.