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Finding the Fourth Proportional to 12,760.19, 19,141.05 and 3,400.16

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Solution

The fourth proportional to 12,760.19, 19,141.05 and 3,400.16 is: 5,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.19 : 19,141.05 = 3,400.16 : x
  2. Step 2: Convert to fraction form
    12,760.19/19,141.05 = 3,400.16/x
  3. Step 3: Cross multiply
    12,760.19x = 19,141.05 × 3,400.16
  4. Step 4: Simplify right side
    12,760.19x = 65,082,536.86
  5. Step 5: Solve for x
    x = 65,082,536.86/12,760.19
  6. Step 6: Final answer
    x = 5,100.44

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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.