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Finding the Fourth Proportional to 12,334.80, 17,022 and 7,029.84

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Solution

The fourth proportional to 12,334.80, 17,022 and 7,029.84 is: 9,701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.80 : 17,022 = 7,029.84 : x
  2. Step 2: Convert to fraction form
    12,334.80/17,022 = 7,029.84/x
  3. Step 3: Cross multiply
    12,334.80x = 17,022 × 7,029.84
  4. Step 4: Simplify right side
    12,334.80x = 119,661,936.48
  5. Step 5: Solve for x
    x = 119,661,936.48/12,334.80
  6. Step 6: Final answer
    x = 9,701.17

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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.