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Finding the Fourth Proportional to 11,595.20, 17,418.40 and 8,139.20

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Solution

The fourth proportional to 11,595.20, 17,418.40 and 8,139.20 is: 12,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.20 : 17,418.40 = 8,139.20 : x
  2. Step 2: Convert to fraction form
    11,595.20/17,418.40 = 8,139.20/x
  3. Step 3: Cross multiply
    11,595.20x = 17,418.40 × 8,139.20
  4. Step 4: Simplify right side
    11,595.20x = 141,771,841.28
  5. Step 5: Solve for x
    x = 141,771,841.28/11,595.20
  6. Step 6: Final answer
    x = 12,226.77

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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.