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Finding the Fourth Proportional to 11,916.43, 17,820.94 and 9,106.09

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Solution

The fourth proportional to 11,916.43, 17,820.94 and 9,106.09 is: 13,618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.43 : 17,820.94 = 9,106.09 : x
  2. Step 2: Convert to fraction form
    11,916.43/17,820.94 = 9,106.09/x
  3. Step 3: Cross multiply
    11,916.43x = 17,820.94 × 9,106.09
  4. Step 4: Simplify right side
    11,916.43x = 162,279,050.35
  5. Step 5: Solve for x
    x = 162,279,050.35/11,916.43
  6. Step 6: Final answer
    x = 13,618.10

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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.