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Finding the Fourth Proportional to 12,224.08, 16,870.34 and 7,185.78

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Solution

The fourth proportional to 12,224.08, 16,870.34 and 7,185.78 is: 9,917.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.08 : 16,870.34 = 7,185.78 : x
  2. Step 2: Convert to fraction form
    12,224.08/16,870.34 = 7,185.78/x
  3. Step 3: Cross multiply
    12,224.08x = 16,870.34 × 7,185.78
  4. Step 4: Simplify right side
    12,224.08x = 121,226,569.73
  5. Step 5: Solve for x
    x = 121,226,569.73/12,224.08
  6. Step 6: Final answer
    x = 9,917.03

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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.