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Finding the Fourth Proportional to 14,417.25, 19,894.82 and 8,367.66

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Solution

The fourth proportional to 14,417.25, 19,894.82 and 8,367.66 is: 11,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.25 : 19,894.82 = 8,367.66 : x
  2. Step 2: Convert to fraction form
    14,417.25/19,894.82 = 8,367.66/x
  3. Step 3: Cross multiply
    14,417.25x = 19,894.82 × 8,367.66
  4. Step 4: Simplify right side
    14,417.25x = 166,473,047.68
  5. Step 5: Solve for x
    x = 166,473,047.68/14,417.25
  6. Step 6: Final answer
    x = 11,546.80

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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.