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Finding the Fourth Proportional to 14,684.23, 20,260.65 and 8,311

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Solution

The fourth proportional to 14,684.23, 20,260.65 and 8,311 is: 11,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.23 : 20,260.65 = 8,311 : x
  2. Step 2: Convert to fraction form
    14,684.23/20,260.65 = 8,311/x
  3. Step 3: Cross multiply
    14,684.23x = 20,260.65 × 8,311
  4. Step 4: Simplify right side
    14,684.23x = 168,386,262.15
  5. Step 5: Solve for x
    x = 168,386,262.15/14,684.23
  6. Step 6: Final answer
    x = 11,467.15

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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.