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Finding the Fourth Proportional to 12,071.20, 16,911.20 and 12,071.20

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Solution

The fourth proportional to 12,071.20, 16,911.20 and 12,071.20 is: 16,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.20 : 16,911.20 = 12,071.20 : x
  2. Step 2: Convert to fraction form
    12,071.20/16,911.20 = 12,071.20/x
  3. Step 3: Cross multiply
    12,071.20x = 16,911.20 × 12,071.20
  4. Step 4: Simplify right side
    12,071.20x = 204,138,477.44
  5. Step 5: Solve for x
    x = 204,138,477.44/12,071.20
  6. Step 6: Final answer
    x = 16,911.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.