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Finding the Fourth Proportional to 11,876.63, 17,816.76 and 8,614.35

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Solution

The fourth proportional to 11,876.63, 17,816.76 and 8,614.35 is: 12,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.63 : 17,816.76 = 8,614.35 : x
  2. Step 2: Convert to fraction form
    11,876.63/17,816.76 = 8,614.35/x
  3. Step 3: Cross multiply
    11,876.63x = 17,816.76 × 8,614.35
  4. Step 4: Simplify right side
    11,876.63x = 153,479,806.51
  5. Step 5: Solve for x
    x = 153,479,806.51/11,876.63
  6. Step 6: Final answer
    x = 12,922.85

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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.