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Finding the Fourth Proportional to 20,916.76, 28,865 and 11,485.12

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Solution

The fourth proportional to 20,916.76, 28,865 and 11,485.12 is: 15,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,916.76 : 28,865 = 11,485.12 : x
  2. Step 2: Convert to fraction form
    20,916.76/28,865 = 11,485.12/x
  3. Step 3: Cross multiply
    20,916.76x = 28,865 × 11,485.12
  4. Step 4: Simplify right side
    20,916.76x = 331,517,988.80
  5. Step 5: Solve for x
    x = 331,517,988.80/20,916.76
  6. Step 6: Final answer
    x = 15,849.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.