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Finding the Fourth Proportional to 12,175.30, 16,802.42 and 6,870.12

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Solution

The fourth proportional to 12,175.30, 16,802.42 and 6,870.12 is: 9,481.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.30 : 16,802.42 = 6,870.12 : x
  2. Step 2: Convert to fraction form
    12,175.30/16,802.42 = 6,870.12/x
  3. Step 3: Cross multiply
    12,175.30x = 16,802.42 × 6,870.12
  4. Step 4: Simplify right side
    12,175.30x = 115,434,641.69
  5. Step 5: Solve for x
    x = 115,434,641.69/12,175.30
  6. Step 6: Final answer
    x = 9,481.05

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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.