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Finding the Fourth Proportional to 12,141.74, 16,765.71 and 8,175.98

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Solution

The fourth proportional to 12,141.74, 16,765.71 and 8,175.98 is: 11,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.74 : 16,765.71 = 8,175.98 : x
  2. Step 2: Convert to fraction form
    12,141.74/16,765.71 = 8,175.98/x
  3. Step 3: Cross multiply
    12,141.74x = 16,765.71 × 8,175.98
  4. Step 4: Simplify right side
    12,141.74x = 137,076,109.65
  5. Step 5: Solve for x
    x = 137,076,109.65/12,141.74
  6. Step 6: Final answer
    x = 11,289.66

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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.