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Finding the Fourth Proportional to 13,527.97, 18,692.45 and 10,411.09

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Solution

The fourth proportional to 13,527.97, 18,692.45 and 10,411.09 is: 14,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.97 : 18,692.45 = 10,411.09 : x
  2. Step 2: Convert to fraction form
    13,527.97/18,692.45 = 10,411.09/x
  3. Step 3: Cross multiply
    13,527.97x = 18,692.45 × 10,411.09
  4. Step 4: Simplify right side
    13,527.97x = 194,608,779.27
  5. Step 5: Solve for x
    x = 194,608,779.27/13,527.97
  6. Step 6: Final answer
    x = 14,385.66

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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.