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Finding the Fourth Proportional to 11,919.33, 16,465.83 and 9,526.23

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Solution

The fourth proportional to 11,919.33, 16,465.83 and 9,526.23 is: 13,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.33 : 16,465.83 = 9,526.23 : x
  2. Step 2: Convert to fraction form
    11,919.33/16,465.83 = 9,526.23/x
  3. Step 3: Cross multiply
    11,919.33x = 16,465.83 × 9,526.23
  4. Step 4: Simplify right side
    11,919.33x = 156,857,236.09
  5. Step 5: Solve for x
    x = 156,857,236.09/11,919.33
  6. Step 6: Final answer
    x = 13,159.91

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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.