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Finding the Fourth Proportional to 27,307.40, 40,977.01 and 11,511.46

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Solution

The fourth proportional to 27,307.40, 40,977.01 and 11,511.46 is: 17,273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,307.40 : 40,977.01 = 11,511.46 : x
  2. Step 2: Convert to fraction form
    27,307.40/40,977.01 = 11,511.46/x
  3. Step 3: Cross multiply
    27,307.40x = 40,977.01 × 11,511.46
  4. Step 4: Simplify right side
    27,307.40x = 471,705,194.27
  5. Step 5: Solve for x
    x = 471,705,194.27/27,307.40
  6. Step 6: Final answer
    x = 17,273.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.