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Finding the Fourth Proportional to 13,658.58, 18,845.07 and 7,689.90

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Solution

The fourth proportional to 13,658.58, 18,845.07 and 7,689.90 is: 10,609.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.58 : 18,845.07 = 7,689.90 : x
  2. Step 2: Convert to fraction form
    13,658.58/18,845.07 = 7,689.90/x
  3. Step 3: Cross multiply
    13,658.58x = 18,845.07 × 7,689.90
  4. Step 4: Simplify right side
    13,658.58x = 144,916,703.79
  5. Step 5: Solve for x
    x = 144,916,703.79/13,658.58
  6. Step 6: Final answer
    x = 10,609.94

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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.