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Finding the Fourth Proportional to 12,716.40, 17,768.40 and 12,716.40

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Solution

The fourth proportional to 12,716.40, 17,768.40 and 12,716.40 is: 17,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.40 : 17,768.40 = 12,716.40 : x
  2. Step 2: Convert to fraction form
    12,716.40/17,768.40 = 12,716.40/x
  3. Step 3: Cross multiply
    12,716.40x = 17,768.40 × 12,716.40
  4. Step 4: Simplify right side
    12,716.40x = 225,950,081.76
  5. Step 5: Solve for x
    x = 225,950,081.76/12,716.40
  6. Step 6: Final answer
    x = 17,768.40

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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.