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Finding the Fourth Proportional to 12,175.98, 16,802.04 and 6,869.76

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Solution

The fourth proportional to 12,175.98, 16,802.04 and 6,869.76 is: 9,479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.98 : 16,802.04 = 6,869.76 : x
  2. Step 2: Convert to fraction form
    12,175.98/16,802.04 = 6,869.76/x
  3. Step 3: Cross multiply
    12,175.98x = 16,802.04 × 6,869.76
  4. Step 4: Simplify right side
    12,175.98x = 115,425,982.31
  5. Step 5: Solve for x
    x = 115,425,982.31/12,175.98
  6. Step 6: Final answer
    x = 9,479.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.