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Finding the Fourth Proportional to 17,882.77, 26,827.25 and 7,358.58

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Solution

The fourth proportional to 17,882.77, 26,827.25 and 7,358.58 is: 11,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.77 : 26,827.25 = 7,358.58 : x
  2. Step 2: Convert to fraction form
    17,882.77/26,827.25 = 7,358.58/x
  3. Step 3: Cross multiply
    17,882.77x = 26,827.25 × 7,358.58
  4. Step 4: Simplify right side
    17,882.77x = 197,410,465.31
  5. Step 5: Solve for x
    x = 197,410,465.31/17,882.77
  6. Step 6: Final answer
    x = 11,039.14

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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.