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Finding the Fourth Proportional to 11,577.08, 17,358.91 and 10,193.19

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Solution

The fourth proportional to 11,577.08, 17,358.91 and 10,193.19 is: 15,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.08 : 17,358.91 = 10,193.19 : x
  2. Step 2: Convert to fraction form
    11,577.08/17,358.91 = 10,193.19/x
  3. Step 3: Cross multiply
    11,577.08x = 17,358.91 × 10,193.19
  4. Step 4: Simplify right side
    11,577.08x = 176,942,616.86
  5. Step 5: Solve for x
    x = 176,942,616.86/11,577.08
  6. Step 6: Final answer
    x = 15,283.88

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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.