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Finding the Fourth Proportional to 20,541.84, 28,347.27 and 11,589.12

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Solution

The fourth proportional to 20,541.84, 28,347.27 and 11,589.12 is: 15,992.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,541.84 : 28,347.27 = 11,589.12 : x
  2. Step 2: Convert to fraction form
    20,541.84/28,347.27 = 11,589.12/x
  3. Step 3: Cross multiply
    20,541.84x = 28,347.27 × 11,589.12
  4. Step 4: Simplify right side
    20,541.84x = 328,519,913.70
  5. Step 5: Solve for x
    x = 328,519,913.70/20,541.84
  6. Step 6: Final answer
    x = 15,992.72

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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.