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Finding the Fourth Proportional to 17,411.42, 26,082.26 and 8,038.76

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Solution

The fourth proportional to 17,411.42, 26,082.26 and 8,038.76 is: 12,042.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,411.42 : 26,082.26 = 8,038.76 : x
  2. Step 2: Convert to fraction form
    17,411.42/26,082.26 = 8,038.76/x
  3. Step 3: Cross multiply
    17,411.42x = 26,082.26 × 8,038.76
  4. Step 4: Simplify right side
    17,411.42x = 209,669,028.40
  5. Step 5: Solve for x
    x = 209,669,028.40/17,411.42
  6. Step 6: Final answer
    x = 12,042.04

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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.