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Finding the Fourth Proportional to 13,701.98, 18,899.76 and 9,674.72

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Solution

The fourth proportional to 13,701.98, 18,899.76 and 9,674.72 is: 13,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.98 : 18,899.76 = 9,674.72 : x
  2. Step 2: Convert to fraction form
    13,701.98/18,899.76 = 9,674.72/x
  3. Step 3: Cross multiply
    13,701.98x = 18,899.76 × 9,674.72
  4. Step 4: Simplify right side
    13,701.98x = 182,849,791.57
  5. Step 5: Solve for x
    x = 182,849,791.57/13,701.98
  6. Step 6: Final answer
    x = 13,344.78

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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.