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Finding the Fourth Proportional to 14,930.57, 20,603.76 and 8,216.20

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Solution

The fourth proportional to 14,930.57, 20,603.76 and 8,216.20 is: 11,338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,930.57 : 20,603.76 = 8,216.20 : x
  2. Step 2: Convert to fraction form
    14,930.57/20,603.76 = 8,216.20/x
  3. Step 3: Cross multiply
    14,930.57x = 20,603.76 × 8,216.20
  4. Step 4: Simplify right side
    14,930.57x = 169,284,530.59
  5. Step 5: Solve for x
    x = 169,284,530.59/14,930.57
  6. Step 6: Final answer
    x = 11,338.11

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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.