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Finding the Fourth Proportional to 20,494.25, 28,282.16 and 11,541.89

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Solution

The fourth proportional to 20,494.25, 28,282.16 and 11,541.89 is: 15,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.25 : 28,282.16 = 11,541.89 : x
  2. Step 2: Convert to fraction form
    20,494.25/28,282.16 = 11,541.89/x
  3. Step 3: Cross multiply
    20,494.25x = 28,282.16 × 11,541.89
  4. Step 4: Simplify right side
    20,494.25x = 326,429,679.24
  5. Step 5: Solve for x
    x = 326,429,679.24/20,494.25
  6. Step 6: Final answer
    x = 15,927.87

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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.