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Finding the Fourth Proportional to 14,156.54, 19,546.17 and 9,917.00

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Solution

The fourth proportional to 14,156.54, 19,546.17 and 9,917.00 is: 13,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156.54 : 19,546.17 = 9,917.00 : x
  2. Step 2: Convert to fraction form
    14,156.54/19,546.17 = 9,917.00/x
  3. Step 3: Cross multiply
    14,156.54x = 19,546.17 × 9,917.00
  4. Step 4: Simplify right side
    14,156.54x = 193,839,379.57
  5. Step 5: Solve for x
    x = 193,839,379.57/14,156.54
  6. Step 6: Final answer
    x = 13,692.57

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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.