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Finding the Fourth Proportional to 12,772.08, 17,623.58 and 7,468.61

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Solution

The fourth proportional to 12,772.08, 17,623.58 and 7,468.61 is: 10,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.08 : 17,623.58 = 7,468.61 : x
  2. Step 2: Convert to fraction form
    12,772.08/17,623.58 = 7,468.61/x
  3. Step 3: Cross multiply
    12,772.08x = 17,623.58 × 7,468.61
  4. Step 4: Simplify right side
    12,772.08x = 131,623,520.36
  5. Step 5: Solve for x
    x = 131,623,520.36/12,772.08
  6. Step 6: Final answer
    x = 10,305.57

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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.