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Finding the Fourth Proportional to 12,175.30, 17,084.30 and 12,175.30

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Solution

The fourth proportional to 12,175.30, 17,084.30 and 12,175.30 is: 17,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.30 : 17,084.30 = 12,175.30 : x
  2. Step 2: Convert to fraction form
    12,175.30/17,084.30 = 12,175.30/x
  3. Step 3: Cross multiply
    12,175.30x = 17,084.30 × 12,175.30
  4. Step 4: Simplify right side
    12,175.30x = 208,006,477.79
  5. Step 5: Solve for x
    x = 208,006,477.79/12,175.30
  6. Step 6: Final answer
    x = 17,084.30

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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.