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Finding the Fourth Proportional to 13,689.57, 18,889.74 and 7,639.11

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Solution

The fourth proportional to 13,689.57, 18,889.74 and 7,639.11 is: 10,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.57 : 18,889.74 = 7,639.11 : x
  2. Step 2: Convert to fraction form
    13,689.57/18,889.74 = 7,639.11/x
  3. Step 3: Cross multiply
    13,689.57x = 18,889.74 × 7,639.11
  4. Step 4: Simplify right side
    13,689.57x = 144,300,801.73
  5. Step 5: Solve for x
    x = 144,300,801.73/13,689.57
  6. Step 6: Final answer
    x = 10,540.93

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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.