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Finding the Fourth Proportional to 13,846.13, 20,780.04 and 9,658.90

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Solution

The fourth proportional to 13,846.13, 20,780.04 and 9,658.90 is: 14,495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.13 : 20,780.04 = 9,658.90 : x
  2. Step 2: Convert to fraction form
    13,846.13/20,780.04 = 9,658.90/x
  3. Step 3: Cross multiply
    13,846.13x = 20,780.04 × 9,658.90
  4. Step 4: Simplify right side
    13,846.13x = 200,712,176.16
  5. Step 5: Solve for x
    x = 200,712,176.16/13,846.13
  6. Step 6: Final answer
    x = 14,495.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.