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Finding the Fourth Proportional to 12,175.55, 16,802.36 and 6,870.48

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Solution

The fourth proportional to 12,175.55, 16,802.36 and 6,870.48 is: 9,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.55 : 16,802.36 = 6,870.48 : x
  2. Step 2: Convert to fraction form
    12,175.55/16,802.36 = 6,870.48/x
  3. Step 3: Cross multiply
    12,175.55x = 16,802.36 × 6,870.48
  4. Step 4: Simplify right side
    12,175.55x = 115,440,243.98
  5. Step 5: Solve for x
    x = 115,440,243.98/12,175.55
  6. Step 6: Final answer
    x = 9,481.32

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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.