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Finding the Fourth Proportional to 14,689.20, 20,271.12 and 7,974.83

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Solution

The fourth proportional to 14,689.20, 20,271.12 and 7,974.83 is: 11,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.20 : 20,271.12 = 7,974.83 : x
  2. Step 2: Convert to fraction form
    14,689.20/20,271.12 = 7,974.83/x
  3. Step 3: Cross multiply
    14,689.20x = 20,271.12 × 7,974.83
  4. Step 4: Simplify right side
    14,689.20x = 161,658,735.91
  5. Step 5: Solve for x
    x = 161,658,735.91/14,689.20
  6. Step 6: Final answer
    x = 11,005.28

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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.