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Finding the Fourth Proportional to 13,689.18, 18,891.06 and 7,720.84

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Solution

The fourth proportional to 13,689.18, 18,891.06 and 7,720.84 is: 10,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.18 : 18,891.06 = 7,720.84 : x
  2. Step 2: Convert to fraction form
    13,689.18/18,891.06 = 7,720.84/x
  3. Step 3: Cross multiply
    13,689.18x = 18,891.06 × 7,720.84
  4. Step 4: Simplify right side
    13,689.18x = 145,854,737.93
  5. Step 5: Solve for x
    x = 145,854,737.93/13,689.18
  6. Step 6: Final answer
    x = 10,654.75

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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.