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Finding the Fourth Proportional to 14,549.75, 20,078.73 and 8,176.61

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Solution

The fourth proportional to 14,549.75, 20,078.73 and 8,176.61 is: 11,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.75 : 20,078.73 = 8,176.61 : x
  2. Step 2: Convert to fraction form
    14,549.75/20,078.73 = 8,176.61/x
  3. Step 3: Cross multiply
    14,549.75x = 20,078.73 × 8,176.61
  4. Step 4: Simplify right side
    14,549.75x = 164,175,944.51
  5. Step 5: Solve for x
    x = 164,175,944.51/14,549.75
  6. Step 6: Final answer
    x = 11,283.76

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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.