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Finding the Fourth Proportional to 12,598.10, 17,382.22 and 8,116.45

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Solution

The fourth proportional to 12,598.10, 17,382.22 and 8,116.45 is: 11,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.10 : 17,382.22 = 8,116.45 : x
  2. Step 2: Convert to fraction form
    12,598.10/17,382.22 = 8,116.45/x
  3. Step 3: Cross multiply
    12,598.10x = 17,382.22 × 8,116.45
  4. Step 4: Simplify right side
    12,598.10x = 141,081,919.52
  5. Step 5: Solve for x
    x = 141,081,919.52/12,598.10
  6. Step 6: Final answer
    x = 11,198.67

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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.