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Finding the Fourth Proportional to 13,689.80, 18,876.74 and 9,905.48

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Solution

The fourth proportional to 13,689.80, 18,876.74 and 9,905.48 is: 13,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.80 : 18,876.74 = 9,905.48 : x
  2. Step 2: Convert to fraction form
    13,689.80/18,876.74 = 9,905.48/x
  3. Step 3: Cross multiply
    13,689.80x = 18,876.74 × 9,905.48
  4. Step 4: Simplify right side
    13,689.80x = 186,983,170.54
  5. Step 5: Solve for x
    x = 186,983,170.54/13,689.80
  6. Step 6: Final answer
    x = 13,658.58

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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.