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Finding the Fourth Proportional to 12,924.66, 17,822.91 and 12,171.25

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Solution

The fourth proportional to 12,924.66, 17,822.91 and 12,171.25 is: 16,783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.66 : 17,822.91 = 12,171.25 : x
  2. Step 2: Convert to fraction form
    12,924.66/17,822.91 = 12,171.25/x
  3. Step 3: Cross multiply
    12,924.66x = 17,822.91 × 12,171.25
  4. Step 4: Simplify right side
    12,924.66x = 216,927,093.34
  5. Step 5: Solve for x
    x = 216,927,093.34/12,924.66
  6. Step 6: Final answer
    x = 16,783.97

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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.