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Finding the Fourth Proportional to 12,175.47, 16,801.83 and 6,870.20

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Solution

The fourth proportional to 12,175.47, 16,801.83 and 6,870.20 is: 9,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.47 : 16,801.83 = 6,870.20 : x
  2. Step 2: Convert to fraction form
    12,175.47/16,801.83 = 6,870.20/x
  3. Step 3: Cross multiply
    12,175.47x = 16,801.83 × 6,870.20
  4. Step 4: Simplify right side
    12,175.47x = 115,431,848.46
  5. Step 5: Solve for x
    x = 115,431,848.46/12,175.47
  6. Step 6: Final answer
    x = 9,480.69

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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.