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Finding the Fourth Proportional to 14,815.17, 22,231.49 and 5,461.77

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Solution

The fourth proportional to 14,815.17, 22,231.49 and 5,461.77 is: 8,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,815.17 : 22,231.49 = 5,461.77 : x
  2. Step 2: Convert to fraction form
    14,815.17/22,231.49 = 5,461.77/x
  3. Step 3: Cross multiply
    14,815.17x = 22,231.49 × 5,461.77
  4. Step 4: Simplify right side
    14,815.17x = 121,423,257.83
  5. Step 5: Solve for x
    x = 121,423,257.83/14,815.17
  6. Step 6: Final answer
    x = 8,195.87

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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.