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Finding the Fourth Proportional to 11,549.70, 17,308.35 and 8,082.90

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Solution

The fourth proportional to 11,549.70, 17,308.35 and 8,082.90 is: 12,113.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.70 : 17,308.35 = 8,082.90 : x
  2. Step 2: Convert to fraction form
    11,549.70/17,308.35 = 8,082.90/x
  3. Step 3: Cross multiply
    11,549.70x = 17,308.35 × 8,082.90
  4. Step 4: Simplify right side
    11,549.70x = 139,901,662.22
  5. Step 5: Solve for x
    x = 139,901,662.22/11,549.70
  6. Step 6: Final answer
    x = 12,113.01

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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.