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Finding the Fourth Proportional to 20,266.20, 27,960.80 and 12,715.58

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Solution

The fourth proportional to 20,266.20, 27,960.80 and 12,715.58 is: 17,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,266.20 : 27,960.80 = 12,715.58 : x
  2. Step 2: Convert to fraction form
    20,266.20/27,960.80 = 12,715.58/x
  3. Step 3: Cross multiply
    20,266.20x = 27,960.80 × 12,715.58
  4. Step 4: Simplify right side
    20,266.20x = 355,537,795.59
  5. Step 5: Solve for x
    x = 355,537,795.59/20,266.20
  6. Step 6: Final answer
    x = 17,543.39

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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.