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Finding the Fourth Proportional to 12,156.40, 16,984.40 and 12,156.40

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Solution

The fourth proportional to 12,156.40, 16,984.40 and 12,156.40 is: 16,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.40 : 16,984.40 = 12,156.40 : x
  2. Step 2: Convert to fraction form
    12,156.40/16,984.40 = 12,156.40/x
  3. Step 3: Cross multiply
    12,156.40x = 16,984.40 × 12,156.40
  4. Step 4: Simplify right side
    12,156.40x = 206,469,160.16
  5. Step 5: Solve for x
    x = 206,469,160.16/12,156.40
  6. Step 6: Final answer
    x = 16,984.40

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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.